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Finding the Third Proportional to 147,552 and 320,124

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Solution

The third proportional to 147,552 and 320,124 is: 694,530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,552 : 320,124 = 320,124 : x
  2. Step 2: Convert to fraction form
    147,552/320,124 = 320,124/x
  3. Step 3: Cross multiply
    147,552x = 320,124 × 320,124
  4. Step 4: Simplify right side
    147,552x = 102,479,375,376
  5. Step 5: Solve for x
    x = 102,479,375,376/147,552
  6. Step 6: Final answer
    x = 694,530.57

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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.