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Finding the Third Proportional to 181,350 and 254,928

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Solution

The third proportional to 181,350 and 254,928 is: 358,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,350 : 254,928 = 254,928 : x
  2. Step 2: Convert to fraction form
    181,350/254,928 = 254,928/x
  3. Step 3: Cross multiply
    181,350x = 254,928 × 254,928
  4. Step 4: Simplify right side
    181,350x = 64,988,285,184
  5. Step 5: Solve for x
    x = 64,988,285,184/181,350
  6. Step 6: Final answer
    x = 358,358.34

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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.