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Finding the Third Proportional to 248,225.50 and 535,808

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Solution

The third proportional to 248,225.50 and 535,808 is: 1,156,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,225.50 : 535,808 = 535,808 : x
  2. Step 2: Convert to fraction form
    248,225.50/535,808 = 535,808/x
  3. Step 3: Cross multiply
    248,225.50x = 535,808 × 535,808
  4. Step 4: Simplify right side
    248,225.50x = 287,090,212,864
  5. Step 5: Solve for x
    x = 287,090,212,864/248,225.50
  6. Step 6: Final answer
    x = 1,156,570.19

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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.