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Finding the Third Proportional to 159,810.47 and 355,092.61

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Solution

The third proportional to 159,810.47 and 355,092.61 is: 789,001.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,810.47 : 355,092.61 = 355,092.61 : x
  2. Step 2: Convert to fraction form
    159,810.47/355,092.61 = 355,092.61/x
  3. Step 3: Cross multiply
    159,810.47x = 355,092.61 × 355,092.61
  4. Step 4: Simplify right side
    159,810.47x = 126,090,761,232.75
  5. Step 5: Solve for x
    x = 126,090,761,232.75/159,810.47
  6. Step 6: Final answer
    x = 789,001.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.