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Finding the Third Proportional to 114,802 and 251,757

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Solution

The third proportional to 114,802 and 251,757 is: 552,094.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,802 : 251,757 = 251,757 : x
  2. Step 2: Convert to fraction form
    114,802/251,757 = 251,757/x
  3. Step 3: Cross multiply
    114,802x = 251,757 × 251,757
  4. Step 4: Simplify right side
    114,802x = 63,381,587,049
  5. Step 5: Solve for x
    x = 63,381,587,049/114,802
  6. Step 6: Final answer
    x = 552,094.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.