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Finding the Third Proportional to 137,244 and 296,952

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Solution

The third proportional to 137,244 and 296,952 is: 642,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,244 : 296,952 = 296,952 : x
  2. Step 2: Convert to fraction form
    137,244/296,952 = 296,952/x
  3. Step 3: Cross multiply
    137,244x = 296,952 × 296,952
  4. Step 4: Simplify right side
    137,244x = 88,180,490,304
  5. Step 5: Solve for x
    x = 88,180,490,304/137,244
  6. Step 6: Final answer
    x = 642,508.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.