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Finding the Third Proportional to 151,396 and 318,471

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Solution

The third proportional to 151,396 and 318,471 is: 669,923.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,396 : 318,471 = 318,471 : x
  2. Step 2: Convert to fraction form
    151,396/318,471 = 318,471/x
  3. Step 3: Cross multiply
    151,396x = 318,471 × 318,471
  4. Step 4: Simplify right side
    151,396x = 101,423,777,841
  5. Step 5: Solve for x
    x = 101,423,777,841/151,396
  6. Step 6: Final answer
    x = 669,923.76

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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.