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Finding the Third Proportional to 84,714 and 196,959

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Solution

The third proportional to 84,714 and 196,959 is: 457,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,714 : 196,959 = 196,959 : x
  2. Step 2: Convert to fraction form
    84,714/196,959 = 196,959/x
  3. Step 3: Cross multiply
    84,714x = 196,959 × 196,959
  4. Step 4: Simplify right side
    84,714x = 38,792,847,681
  5. Step 5: Solve for x
    x = 38,792,847,681/84,714
  6. Step 6: Final answer
    x = 457,927.23

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.