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Finding the Third Proportional to 151,471 and 318,612

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Solution

The third proportional to 151,471 and 318,612 is: 670,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,471 : 318,612 = 318,612 : x
  2. Step 2: Convert to fraction form
    151,471/318,612 = 318,612/x
  3. Step 3: Cross multiply
    151,471x = 318,612 × 318,612
  4. Step 4: Simplify right side
    151,471x = 101,513,606,544
  5. Step 5: Solve for x
    x = 101,513,606,544/151,471
  6. Step 6: Final answer
    x = 670,185.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.