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Finding the Third Proportional to 147,611 and 323,593

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Solution

The third proportional to 147,611 and 323,593 is: 709,380.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,611 : 323,593 = 323,593 : x
  2. Step 2: Convert to fraction form
    147,611/323,593 = 323,593/x
  3. Step 3: Cross multiply
    147,611x = 323,593 × 323,593
  4. Step 4: Simplify right side
    147,611x = 104,712,429,649
  5. Step 5: Solve for x
    x = 104,712,429,649/147,611
  6. Step 6: Final answer
    x = 709,380.94

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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.