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Finding the Third Proportional to 147,524 and 320,026

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Solution

The third proportional to 147,524 and 320,026 is: 694,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,524 : 320,026 = 320,026 : x
  2. Step 2: Convert to fraction form
    147,524/320,026 = 320,026/x
  3. Step 3: Cross multiply
    147,524x = 320,026 × 320,026
  4. Step 4: Simplify right side
    147,524x = 102,416,640,676
  5. Step 5: Solve for x
    x = 102,416,640,676/147,524
  6. Step 6: Final answer
    x = 694,237.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.