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Finding the Third Proportional to 240,715.13 and 336,565.13

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Solution

The third proportional to 240,715.13 and 336,565.13 is: 470,581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,715.13 : 336,565.13 = 336,565.13 : x
  2. Step 2: Convert to fraction form
    240,715.13/336,565.13 = 336,565.13/x
  3. Step 3: Cross multiply
    240,715.13x = 336,565.13 × 336,565.13
  4. Step 4: Simplify right side
    240,715.13x = 113,276,083,366.27
  5. Step 5: Solve for x
    x = 113,276,083,366.27/240,715.13
  6. Step 6: Final answer
    x = 470,581.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.