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Finding the Third Proportional to 181,086.75 and 288,253.13

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Solution

The third proportional to 181,086.75 and 288,253.13 is: 458,840.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,086.75 : 288,253.13 = 288,253.13 : x
  2. Step 2: Convert to fraction form
    181,086.75/288,253.13 = 288,253.13/x
  3. Step 3: Cross multiply
    181,086.75x = 288,253.13 × 288,253.13
  4. Step 4: Simplify right side
    181,086.75x = 83,089,864,072.27
  5. Step 5: Solve for x
    x = 83,089,864,072.27/181,086.75
  6. Step 6: Final answer
    x = 458,840.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.