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Finding the Third Proportional to 240,644 and 352,758

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Solution

The third proportional to 240,644 and 352,758 is: 517,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,644 : 352,758 = 352,758 : x
  2. Step 2: Convert to fraction form
    240,644/352,758 = 352,758/x
  3. Step 3: Cross multiply
    240,644x = 352,758 × 352,758
  4. Step 4: Simplify right side
    240,644x = 124,438,206,564
  5. Step 5: Solve for x
    x = 124,438,206,564/240,644
  6. Step 6: Final answer
    x = 517,104.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.