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Finding the Third Proportional to 117,166 and 242,638

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Solution

The third proportional to 117,166 and 242,638 is: 502,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,166 : 242,638 = 242,638 : x
  2. Step 2: Convert to fraction form
    117,166/242,638 = 242,638/x
  3. Step 3: Cross multiply
    117,166x = 242,638 × 242,638
  4. Step 4: Simplify right side
    117,166x = 58,873,199,044
  5. Step 5: Solve for x
    x = 58,873,199,044/117,166
  6. Step 6: Final answer
    x = 502,476.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.