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Finding the Third Proportional to 181,349.50 and 272,480

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Solution

The third proportional to 181,349.50 and 272,480 is: 409,404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,349.50 : 272,480 = 272,480 : x
  2. Step 2: Convert to fraction form
    181,349.50/272,480 = 272,480/x
  3. Step 3: Cross multiply
    181,349.50x = 272,480 × 272,480
  4. Step 4: Simplify right side
    181,349.50x = 74,245,350,400
  5. Step 5: Solve for x
    x = 74,245,350,400/181,349.50
  6. Step 6: Final answer
    x = 409,404.77

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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.