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Finding the Third Proportional to 181,877.81 and 275,332.69

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Solution

The third proportional to 181,877.81 and 275,332.69 is: 416,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,877.81 : 275,332.69 = 275,332.69 : x
  2. Step 2: Convert to fraction form
    181,877.81/275,332.69 = 275,332.69/x
  3. Step 3: Cross multiply
    181,877.81x = 275,332.69 × 275,332.69
  4. Step 4: Simplify right side
    181,877.81x = 75,808,088,805.97
  5. Step 5: Solve for x
    x = 75,808,088,805.97/181,877.81
  6. Step 6: Final answer
    x = 416,807.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.