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Finding the Third Proportional to 117,596 and 256,342

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Solution

The third proportional to 117,596 and 256,342 is: 558,787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,596 : 256,342 = 256,342 : x
  2. Step 2: Convert to fraction form
    117,596/256,342 = 256,342/x
  3. Step 3: Cross multiply
    117,596x = 256,342 × 256,342
  4. Step 4: Simplify right side
    117,596x = 65,711,220,964
  5. Step 5: Solve for x
    x = 65,711,220,964/117,596
  6. Step 6: Final answer
    x = 558,787.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.