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Finding the Third Proportional to 181,656 and 283,521

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Solution

The third proportional to 181,656 and 283,521 is: 442,507.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,656 : 283,521 = 283,521 : x
  2. Step 2: Convert to fraction form
    181,656/283,521 = 283,521/x
  3. Step 3: Cross multiply
    181,656x = 283,521 × 283,521
  4. Step 4: Simplify right side
    181,656x = 80,384,157,441
  5. Step 5: Solve for x
    x = 80,384,157,441/181,656
  6. Step 6: Final answer
    x = 442,507.58

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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.