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Finding the Third Proportional to 145,734 and 313,612

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Solution

The third proportional to 145,734 and 313,612 is: 674,876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,734 : 313,612 = 313,612 : x
  2. Step 2: Convert to fraction form
    145,734/313,612 = 313,612/x
  3. Step 3: Cross multiply
    145,734x = 313,612 × 313,612
  4. Step 4: Simplify right side
    145,734x = 98,352,486,544
  5. Step 5: Solve for x
    x = 98,352,486,544/145,734
  6. Step 6: Final answer
    x = 674,876.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.