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Finding the Third Proportional to 168,988 and 316,686

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Solution

The third proportional to 168,988 and 316,686 is: 593,474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,988 : 316,686 = 316,686 : x
  2. Step 2: Convert to fraction form
    168,988/316,686 = 316,686/x
  3. Step 3: Cross multiply
    168,988x = 316,686 × 316,686
  4. Step 4: Simplify right side
    168,988x = 100,290,022,596
  5. Step 5: Solve for x
    x = 100,290,022,596/168,988
  6. Step 6: Final answer
    x = 593,474.23

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.