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Finding the Third Proportional to 181,535 and 394,553

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Solution

The third proportional to 181,535 and 394,553 is: 857,531.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,535 : 394,553 = 394,553 : x
  2. Step 2: Convert to fraction form
    181,535/394,553 = 394,553/x
  3. Step 3: Cross multiply
    181,535x = 394,553 × 394,553
  4. Step 4: Simplify right side
    181,535x = 155,672,069,809
  5. Step 5: Solve for x
    x = 155,672,069,809/181,535
  6. Step 6: Final answer
    x = 857,531.99

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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.