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Finding the Third Proportional to 108,597 and 240,429

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Solution

The third proportional to 108,597 and 240,429 is: 532,299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,597 : 240,429 = 240,429 : x
  2. Step 2: Convert to fraction form
    108,597/240,429 = 240,429/x
  3. Step 3: Cross multiply
    108,597x = 240,429 × 240,429
  4. Step 4: Simplify right side
    108,597x = 57,806,104,041
  5. Step 5: Solve for x
    x = 57,806,104,041/108,597
  6. Step 6: Final answer
    x = 532,299.27

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.