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Finding the Third Proportional to 220,528.13 and 329,910.75

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Solution

The third proportional to 220,528.13 and 329,910.75 is: 493,547.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,528.13 : 329,910.75 = 329,910.75 : x
  2. Step 2: Convert to fraction form
    220,528.13/329,910.75 = 329,910.75/x
  3. Step 3: Cross multiply
    220,528.13x = 329,910.75 × 329,910.75
  4. Step 4: Simplify right side
    220,528.13x = 108,841,102,965.56
  5. Step 5: Solve for x
    x = 108,841,102,965.56/220,528.13
  6. Step 6: Final answer
    x = 493,547.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.