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Finding the Third Proportional to 132,249 and 277,422

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Solution

The third proportional to 132,249 and 277,422 is: 581,954.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,249 : 277,422 = 277,422 : x
  2. Step 2: Convert to fraction form
    132,249/277,422 = 277,422/x
  3. Step 3: Cross multiply
    132,249x = 277,422 × 277,422
  4. Step 4: Simplify right side
    132,249x = 76,962,966,084
  5. Step 5: Solve for x
    x = 76,962,966,084/132,249
  6. Step 6: Final answer
    x = 581,954.99

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.