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Finding the Third Proportional to 209,657 and 279,330

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Solution

The third proportional to 209,657 and 279,330 is: 372,156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,657 : 279,330 = 279,330 : x
  2. Step 2: Convert to fraction form
    209,657/279,330 = 279,330/x
  3. Step 3: Cross multiply
    209,657x = 279,330 × 279,330
  4. Step 4: Simplify right side
    209,657x = 78,025,248,900
  5. Step 5: Solve for x
    x = 78,025,248,900/209,657
  6. Step 6: Final answer
    x = 372,156.66

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.