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Finding the Third Proportional to 250,184 and 377,427

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Solution

The third proportional to 250,184 and 377,427 is: 569,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,184 : 377,427 = 377,427 : x
  2. Step 2: Convert to fraction form
    250,184/377,427 = 377,427/x
  3. Step 3: Cross multiply
    250,184x = 377,427 × 377,427
  4. Step 4: Simplify right side
    250,184x = 142,451,140,329
  5. Step 5: Solve for x
    x = 142,451,140,329/250,184
  6. Step 6: Final answer
    x = 569,385.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.