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Finding the Third Proportional to 132,944 and 204,342

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Solution

The third proportional to 132,944 and 204,342 is: 314,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,944 : 204,342 = 204,342 : x
  2. Step 2: Convert to fraction form
    132,944/204,342 = 204,342/x
  3. Step 3: Cross multiply
    132,944x = 204,342 × 204,342
  4. Step 4: Simplify right side
    132,944x = 41,755,652,964
  5. Step 5: Solve for x
    x = 41,755,652,964/132,944
  6. Step 6: Final answer
    x = 314,084.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.