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Finding the Third Proportional to 151,252 and 317,983

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Solution

The third proportional to 151,252 and 317,983 is: 668,508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,252 : 317,983 = 317,983 : x
  2. Step 2: Convert to fraction form
    151,252/317,983 = 317,983/x
  3. Step 3: Cross multiply
    151,252x = 317,983 × 317,983
  4. Step 4: Simplify right side
    151,252x = 101,113,188,289
  5. Step 5: Solve for x
    x = 101,113,188,289/151,252
  6. Step 6: Final answer
    x = 668,508.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.