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Finding the Third Proportional to 254,671 and 344,637

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Solution

The third proportional to 254,671 and 344,637 is: 466,384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,671 : 344,637 = 344,637 : x
  2. Step 2: Convert to fraction form
    254,671/344,637 = 344,637/x
  3. Step 3: Cross multiply
    254,671x = 344,637 × 344,637
  4. Step 4: Simplify right side
    254,671x = 118,774,661,769
  5. Step 5: Solve for x
    x = 118,774,661,769/254,671
  6. Step 6: Final answer
    x = 466,384.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.