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Finding the Third Proportional to 160,872 and 254,943

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Solution

The third proportional to 160,872 and 254,943 is: 404,022.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,872 : 254,943 = 254,943 : x
  2. Step 2: Convert to fraction form
    160,872/254,943 = 254,943/x
  3. Step 3: Cross multiply
    160,872x = 254,943 × 254,943
  4. Step 4: Simplify right side
    160,872x = 64,995,933,249
  5. Step 5: Solve for x
    x = 64,995,933,249/160,872
  6. Step 6: Final answer
    x = 404,022.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.