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Finding the Third Proportional to 147,897 and 323,782

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Solution

The third proportional to 147,897 and 323,782 is: 708,836.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,897 : 323,782 = 323,782 : x
  2. Step 2: Convert to fraction form
    147,897/323,782 = 323,782/x
  3. Step 3: Cross multiply
    147,897x = 323,782 × 323,782
  4. Step 4: Simplify right side
    147,897x = 104,834,783,524
  5. Step 5: Solve for x
    x = 104,834,783,524/147,897
  6. Step 6: Final answer
    x = 708,836.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.