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Finding the Third Proportional to 114,624 and 242,112

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Solution

The third proportional to 114,624 and 242,112 is: 511,395.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,624 : 242,112 = 242,112 : x
  2. Step 2: Convert to fraction form
    114,624/242,112 = 242,112/x
  3. Step 3: Cross multiply
    114,624x = 242,112 × 242,112
  4. Step 4: Simplify right side
    114,624x = 58,618,220,544
  5. Step 5: Solve for x
    x = 58,618,220,544/114,624
  6. Step 6: Final answer
    x = 511,395.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.