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Finding the Third Proportional to 151,916.77 and 329,599.13

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Solution

The third proportional to 151,916.77 and 329,599.13 is: 715,099.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,916.77 : 329,599.13 = 329,599.13 : x
  2. Step 2: Convert to fraction form
    151,916.77/329,599.13 = 329,599.13/x
  3. Step 3: Cross multiply
    151,916.77x = 329,599.13 × 329,599.13
  4. Step 4: Simplify right side
    151,916.77x = 108,635,583,200.77
  5. Step 5: Solve for x
    x = 108,635,583,200.77/151,916.77
  6. Step 6: Final answer
    x = 715,099.37

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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.