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Finding the Third Proportional to 181,352 and 272,483

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Solution

The third proportional to 181,352 and 272,483 is: 409,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,352 : 272,483 = 272,483 : x
  2. Step 2: Convert to fraction form
    181,352/272,483 = 272,483/x
  3. Step 3: Cross multiply
    181,352x = 272,483 × 272,483
  4. Step 4: Simplify right side
    181,352x = 74,246,985,289
  5. Step 5: Solve for x
    x = 74,246,985,289/181,352
  6. Step 6: Final answer
    x = 409,408.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.