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Finding the Third Proportional to 181,531 and 394,545.50

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Solution

The third proportional to 181,531 and 394,545.50 is: 857,518.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,531 : 394,545.50 = 394,545.50 : x
  2. Step 2: Convert to fraction form
    181,531/394,545.50 = 394,545.50/x
  3. Step 3: Cross multiply
    181,531x = 394,545.50 × 394,545.50
  4. Step 4: Simplify right side
    181,531x = 155,666,151,570.25
  5. Step 5: Solve for x
    x = 155,666,151,570.25/181,531
  6. Step 6: Final answer
    x = 857,518.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.