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Finding the Third Proportional to 151,677.56 and 329,599.13

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Solution

The third proportional to 151,677.56 and 329,599.13 is: 716,227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,677.56 : 329,599.13 = 329,599.13 : x
  2. Step 2: Convert to fraction form
    151,677.56/329,599.13 = 329,599.13/x
  3. Step 3: Cross multiply
    151,677.56x = 329,599.13 × 329,599.13
  4. Step 4: Simplify right side
    151,677.56x = 108,635,583,200.77
  5. Step 5: Solve for x
    x = 108,635,583,200.77/151,677.56
  6. Step 6: Final answer
    x = 716,227.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.