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Finding the Third Proportional to 248,429.81 and 536,225.63

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Solution

The third proportional to 248,429.81 and 536,225.63 is: 1,157,421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,429.81 : 536,225.63 = 536,225.63 : x
  2. Step 2: Convert to fraction form
    248,429.81/536,225.63 = 536,225.63/x
  3. Step 3: Cross multiply
    248,429.81x = 536,225.63 × 536,225.63
  4. Step 4: Simplify right side
    248,429.81x = 287,537,920,906.64
  5. Step 5: Solve for x
    x = 287,537,920,906.64/248,429.81
  6. Step 6: Final answer
    x = 1,157,421.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.