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Finding the Third Proportional to 248,528.25 and 536,773.50

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Solution

The third proportional to 248,528.25 and 536,773.50 is: 1,159,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,528.25 : 536,773.50 = 536,773.50 : x
  2. Step 2: Convert to fraction form
    248,528.25/536,773.50 = 536,773.50/x
  3. Step 3: Cross multiply
    248,528.25x = 536,773.50 × 536,773.50
  4. Step 4: Simplify right side
    248,528.25x = 288,125,790,302.25
  5. Step 5: Solve for x
    x = 288,125,790,302.25/248,528.25
  6. Step 6: Final answer
    x = 1,159,328.13

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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.