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Finding the Third Proportional to 161,566.31 and 345,124.13

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Solution

The third proportional to 161,566.31 and 345,124.13 is: 737,224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,566.31 : 345,124.13 = 345,124.13 : x
  2. Step 2: Convert to fraction form
    161,566.31/345,124.13 = 345,124.13/x
  3. Step 3: Cross multiply
    161,566.31x = 345,124.13 × 345,124.13
  4. Step 4: Simplify right side
    161,566.31x = 119,110,661,657.02
  5. Step 5: Solve for x
    x = 119,110,661,657.02/161,566.31
  6. Step 6: Final answer
    x = 737,224.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.