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Finding the Third Proportional to 147,394.69 and 328,141.13

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Solution

The third proportional to 147,394.69 and 328,141.13 is: 730,532.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,394.69 : 328,141.13 = 328,141.13 : x
  2. Step 2: Convert to fraction form
    147,394.69/328,141.13 = 328,141.13/x
  3. Step 3: Cross multiply
    147,394.69x = 328,141.13 × 328,141.13
  4. Step 4: Simplify right side
    147,394.69x = 107,676,597,916.27
  5. Step 5: Solve for x
    x = 107,676,597,916.27/147,394.69
  6. Step 6: Final answer
    x = 730,532.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.