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Finding the Third Proportional to 118,222 and 181,708

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Solution

The third proportional to 118,222 and 181,708 is: 279,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,222 : 181,708 = 181,708 : x
  2. Step 2: Convert to fraction form
    118,222/181,708 = 181,708/x
  3. Step 3: Cross multiply
    118,222x = 181,708 × 181,708
  4. Step 4: Simplify right side
    118,222x = 33,017,797,264
  5. Step 5: Solve for x
    x = 33,017,797,264/118,222
  6. Step 6: Final answer
    x = 279,286.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.