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Finding the Third Proportional to 147,339 and 323,610.19

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Solution

The third proportional to 147,339 and 323,610.19 is: 710,766.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,339 : 323,610.19 = 323,610.19 : x
  2. Step 2: Convert to fraction form
    147,339/323,610.19 = 323,610.19/x
  3. Step 3: Cross multiply
    147,339x = 323,610.19 × 323,610.19
  4. Step 4: Simplify right side
    147,339x = 104,723,553,453.79
  5. Step 5: Solve for x
    x = 104,723,553,453.79/147,339
  6. Step 6: Final answer
    x = 710,766.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.