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Finding the Third Proportional to 254,285 and 344,959

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Solution

The third proportional to 254,285 and 344,959 is: 467,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,285 : 344,959 = 344,959 : x
  2. Step 2: Convert to fraction form
    254,285/344,959 = 344,959/x
  3. Step 3: Cross multiply
    254,285x = 344,959 × 344,959
  4. Step 4: Simplify right side
    254,285x = 118,996,711,681
  5. Step 5: Solve for x
    x = 118,996,711,681/254,285
  6. Step 6: Final answer
    x = 467,965.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.