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Finding the Third Proportional to 181,644 and 272,526.75

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Solution

The third proportional to 181,644 and 272,526.75 is: 408,881.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,644 : 272,526.75 = 272,526.75 : x
  2. Step 2: Convert to fraction form
    181,644/272,526.75 = 272,526.75/x
  3. Step 3: Cross multiply
    181,644x = 272,526.75 × 272,526.75
  4. Step 4: Simplify right side
    181,644x = 74,270,829,465.56
  5. Step 5: Solve for x
    x = 74,270,829,465.56/181,644
  6. Step 6: Final answer
    x = 408,881.27

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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.