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Finding the Third Proportional to 146,022 and 316,829

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Solution

The third proportional to 146,022 and 316,829 is: 687,434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,022 : 316,829 = 316,829 : x
  2. Step 2: Convert to fraction form
    146,022/316,829 = 316,829/x
  3. Step 3: Cross multiply
    146,022x = 316,829 × 316,829
  4. Step 4: Simplify right side
    146,022x = 100,380,615,241
  5. Step 5: Solve for x
    x = 100,380,615,241/146,022
  6. Step 6: Final answer
    x = 687,434.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.