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Finding the Third Proportional to 119,464 and 256,634

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Solution

The third proportional to 119,464 and 256,634 is: 551,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,464 : 256,634 = 256,634 : x
  2. Step 2: Convert to fraction form
    119,464/256,634 = 256,634/x
  3. Step 3: Cross multiply
    119,464x = 256,634 × 256,634
  4. Step 4: Simplify right side
    119,464x = 65,861,009,956
  5. Step 5: Solve for x
    x = 65,861,009,956/119,464
  6. Step 6: Final answer
    x = 551,304.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.