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Finding the Third Proportional to 172,184 and 371,552

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Solution

The third proportional to 172,184 and 371,552 is: 801,763.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,184 : 371,552 = 371,552 : x
  2. Step 2: Convert to fraction form
    172,184/371,552 = 371,552/x
  3. Step 3: Cross multiply
    172,184x = 371,552 × 371,552
  4. Step 4: Simplify right side
    172,184x = 138,050,888,704
  5. Step 5: Solve for x
    x = 138,050,888,704/172,184
  6. Step 6: Final answer
    x = 801,763.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.