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Finding the Third Proportional to 171,464 and 254,712

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Solution

The third proportional to 171,464 and 254,712 is: 378,377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,464 : 254,712 = 254,712 : x
  2. Step 2: Convert to fraction form
    171,464/254,712 = 254,712/x
  3. Step 3: Cross multiply
    171,464x = 254,712 × 254,712
  4. Step 4: Simplify right side
    171,464x = 64,878,202,944
  5. Step 5: Solve for x
    x = 64,878,202,944/171,464
  6. Step 6: Final answer
    x = 378,377.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.