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Finding the Third Proportional to 181,344 and 254,919

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Solution

The third proportional to 181,344 and 254,919 is: 358,344.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,344 : 254,919 = 254,919 : x
  2. Step 2: Convert to fraction form
    181,344/254,919 = 254,919/x
  3. Step 3: Cross multiply
    181,344x = 254,919 × 254,919
  4. Step 4: Simplify right side
    181,344x = 64,983,696,561
  5. Step 5: Solve for x
    x = 64,983,696,561/181,344
  6. Step 6: Final answer
    x = 358,344.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.