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Finding the Third Proportional to 181,549 and 291,282

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Solution

The third proportional to 181,549 and 291,282 is: 467,340.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,549 : 291,282 = 291,282 : x
  2. Step 2: Convert to fraction form
    181,549/291,282 = 291,282/x
  3. Step 3: Cross multiply
    181,549x = 291,282 × 291,282
  4. Step 4: Simplify right side
    181,549x = 84,845,203,524
  5. Step 5: Solve for x
    x = 84,845,203,524/181,549
  6. Step 6: Final answer
    x = 467,340.52

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.