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Finding the Third Proportional to 242,661.75 and 527,241

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Solution

The third proportional to 242,661.75 and 527,241 is: 1,145,557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,661.75 : 527,241 = 527,241 : x
  2. Step 2: Convert to fraction form
    242,661.75/527,241 = 527,241/x
  3. Step 3: Cross multiply
    242,661.75x = 527,241 × 527,241
  4. Step 4: Simplify right side
    242,661.75x = 277,983,072,081
  5. Step 5: Solve for x
    x = 277,983,072,081/242,661.75
  6. Step 6: Final answer
    x = 1,145,557.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.