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Finding the Third Proportional to 181,877 and 275,332

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Solution

The third proportional to 181,877 and 275,332 is: 416,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,877 : 275,332 = 275,332 : x
  2. Step 2: Convert to fraction form
    181,877/275,332 = 275,332/x
  3. Step 3: Cross multiply
    181,877x = 275,332 × 275,332
  4. Step 4: Simplify right side
    181,877x = 75,807,710,224
  5. Step 5: Solve for x
    x = 75,807,710,224/181,877
  6. Step 6: Final answer
    x = 416,807.57

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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.