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Finding the Third Proportional to 147,943.50 and 323,565.50

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Solution

The third proportional to 147,943.50 and 323,565.50 is: 707,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,943.50 : 323,565.50 = 323,565.50 : x
  2. Step 2: Convert to fraction form
    147,943.50/323,565.50 = 323,565.50/x
  3. Step 3: Cross multiply
    147,943.50x = 323,565.50 × 323,565.50
  4. Step 4: Simplify right side
    147,943.50x = 104,694,632,790.25
  5. Step 5: Solve for x
    x = 104,694,632,790.25/147,943.50
  6. Step 6: Final answer
    x = 707,666.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.