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Finding the Third Proportional to 112,866 and 240,732

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Solution

The third proportional to 112,866 and 240,732 is: 513,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,866 : 240,732 = 240,732 : x
  2. Step 2: Convert to fraction form
    112,866/240,732 = 240,732/x
  3. Step 3: Cross multiply
    112,866x = 240,732 × 240,732
  4. Step 4: Simplify right side
    112,866x = 57,951,895,824
  5. Step 5: Solve for x
    x = 57,951,895,824/112,866
  6. Step 6: Final answer
    x = 513,457.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.