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Finding the Third Proportional to 181,344 and 272,712

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Solution

The third proportional to 181,344 and 272,712 is: 410,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,344 : 272,712 = 272,712 : x
  2. Step 2: Convert to fraction form
    181,344/272,712 = 272,712/x
  3. Step 3: Cross multiply
    181,344x = 272,712 × 272,712
  4. Step 4: Simplify right side
    181,344x = 74,371,834,944
  5. Step 5: Solve for x
    x = 74,371,834,944/181,344
  6. Step 6: Final answer
    x = 410,114.67

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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.