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Finding the Third Proportional to 157,756 and 344,624

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Solution

The third proportional to 157,756 and 344,624 is: 752,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,756 : 344,624 = 344,624 : x
  2. Step 2: Convert to fraction form
    157,756/344,624 = 344,624/x
  3. Step 3: Cross multiply
    157,756x = 344,624 × 344,624
  4. Step 4: Simplify right side
    157,756x = 118,765,701,376
  5. Step 5: Solve for x
    x = 118,765,701,376/157,756
  6. Step 6: Final answer
    x = 752,844.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.