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Finding the Third Proportional to 147,544 and 316,126

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Solution

The third proportional to 147,544 and 316,126 is: 677,327.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,544 : 316,126 = 316,126 : x
  2. Step 2: Convert to fraction form
    147,544/316,126 = 316,126/x
  3. Step 3: Cross multiply
    147,544x = 316,126 × 316,126
  4. Step 4: Simplify right side
    147,544x = 99,935,647,876
  5. Step 5: Solve for x
    x = 99,935,647,876/147,544
  6. Step 6: Final answer
    x = 677,327.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.