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Finding the Third Proportional to 147,939.75 and 323,557.88

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Solution

The third proportional to 147,939.75 and 323,557.88 is: 707,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,939.75 : 323,557.88 = 323,557.88 : x
  2. Step 2: Convert to fraction form
    147,939.75/323,557.88 = 323,557.88/x
  3. Step 3: Cross multiply
    147,939.75x = 323,557.88 × 323,557.88
  4. Step 4: Simplify right side
    147,939.75x = 104,689,698,474.52
  5. Step 5: Solve for x
    x = 104,689,698,474.52/147,939.75
  6. Step 6: Final answer
    x = 707,650.91

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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.