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Finding the Third Proportional to 114,018.75 and 242,802

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Solution

The third proportional to 114,018.75 and 242,802 is: 517,044.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,018.75 : 242,802 = 242,802 : x
  2. Step 2: Convert to fraction form
    114,018.75/242,802 = 242,802/x
  3. Step 3: Cross multiply
    114,018.75x = 242,802 × 242,802
  4. Step 4: Simplify right side
    114,018.75x = 58,952,811,204
  5. Step 5: Solve for x
    x = 58,952,811,204/114,018.75
  6. Step 6: Final answer
    x = 517,044.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.