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Finding the Third Proportional to 117,559 and 277,466

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Solution

The third proportional to 117,559 and 277,466 is: 654,882.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,559 : 277,466 = 277,466 : x
  2. Step 2: Convert to fraction form
    117,559/277,466 = 277,466/x
  3. Step 3: Cross multiply
    117,559x = 277,466 × 277,466
  4. Step 4: Simplify right side
    117,559x = 76,987,381,156
  5. Step 5: Solve for x
    x = 76,987,381,156/117,559
  6. Step 6: Final answer
    x = 654,882.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.