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Finding the Third Proportional to 140,580 and 303,612

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Solution

The third proportional to 140,580 and 303,612 is: 655,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,580 : 303,612 = 303,612 : x
  2. Step 2: Convert to fraction form
    140,580/303,612 = 303,612/x
  3. Step 3: Cross multiply
    140,580x = 303,612 × 303,612
  4. Step 4: Simplify right side
    140,580x = 92,180,246,544
  5. Step 5: Solve for x
    x = 92,180,246,544/140,580
  6. Step 6: Final answer
    x = 655,713.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.