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Finding the Third Proportional to 137,633 and 212,714

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Solution

The third proportional to 137,633 and 212,714 is: 328,752.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,633 : 212,714 = 212,714 : x
  2. Step 2: Convert to fraction form
    137,633/212,714 = 212,714/x
  3. Step 3: Cross multiply
    137,633x = 212,714 × 212,714
  4. Step 4: Simplify right side
    137,633x = 45,247,245,796
  5. Step 5: Solve for x
    x = 45,247,245,796/137,633
  6. Step 6: Final answer
    x = 328,752.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.