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Finding the Third Proportional to 191,666 and 278,578

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Solution

The third proportional to 191,666 and 278,578 is: 404,900.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,666 : 278,578 = 278,578 : x
  2. Step 2: Convert to fraction form
    191,666/278,578 = 278,578/x
  3. Step 3: Cross multiply
    191,666x = 278,578 × 278,578
  4. Step 4: Simplify right side
    191,666x = 77,605,702,084
  5. Step 5: Solve for x
    x = 77,605,702,084/191,666
  6. Step 6: Final answer
    x = 404,900.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.