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Finding the Third Proportional to 181,662 and 283,527

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Solution

The third proportional to 181,662 and 283,527 is: 442,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,662 : 283,527 = 283,527 : x
  2. Step 2: Convert to fraction form
    181,662/283,527 = 283,527/x
  3. Step 3: Cross multiply
    181,662x = 283,527 × 283,527
  4. Step 4: Simplify right side
    181,662x = 80,387,559,729
  5. Step 5: Solve for x
    x = 80,387,559,729/181,662
  6. Step 6: Final answer
    x = 442,511.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.