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Finding the Third Proportional to 181,442 and 272,010

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Solution

The third proportional to 181,442 and 272,010 is: 407,785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,442 : 272,010 = 272,010 : x
  2. Step 2: Convert to fraction form
    181,442/272,010 = 272,010/x
  3. Step 3: Cross multiply
    181,442x = 272,010 × 272,010
  4. Step 4: Simplify right side
    181,442x = 73,989,440,100
  5. Step 5: Solve for x
    x = 73,989,440,100/181,442
  6. Step 6: Final answer
    x = 407,785.63

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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.