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Finding the Third Proportional to 117,232.31 and 242,757

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Solution

The third proportional to 117,232.31 and 242,757 is: 502,685.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,232.31 : 242,757 = 242,757 : x
  2. Step 2: Convert to fraction form
    117,232.31/242,757 = 242,757/x
  3. Step 3: Cross multiply
    117,232.31x = 242,757 × 242,757
  4. Step 4: Simplify right side
    117,232.31x = 58,930,961,049
  5. Step 5: Solve for x
    x = 58,930,961,049/117,232.31
  6. Step 6: Final answer
    x = 502,685.31

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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.