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Finding the Third Proportional to 140,769 and 303,543

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Solution

The third proportional to 140,769 and 303,543 is: 654,535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,769 : 303,543 = 303,543 : x
  2. Step 2: Convert to fraction form
    140,769/303,543 = 303,543/x
  3. Step 3: Cross multiply
    140,769x = 303,543 × 303,543
  4. Step 4: Simplify right side
    140,769x = 92,138,352,849
  5. Step 5: Solve for x
    x = 92,138,352,849/140,769
  6. Step 6: Final answer
    x = 654,535.82

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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.