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Finding the Third Proportional to 114,035 and 242,836

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Solution

The third proportional to 114,035 and 242,836 is: 517,116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,035 : 242,836 = 242,836 : x
  2. Step 2: Convert to fraction form
    114,035/242,836 = 242,836/x
  3. Step 3: Cross multiply
    114,035x = 242,836 × 242,836
  4. Step 4: Simplify right side
    114,035x = 58,969,322,896
  5. Step 5: Solve for x
    x = 58,969,322,896/114,035
  6. Step 6: Final answer
    x = 517,116.00

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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.