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Finding the Third Proportional to 140,538 and 303,534

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Solution

The third proportional to 140,538 and 303,534 is: 655,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,538 : 303,534 = 303,534 : x
  2. Step 2: Convert to fraction form
    140,538/303,534 = 303,534/x
  3. Step 3: Cross multiply
    140,538x = 303,534 × 303,534
  4. Step 4: Simplify right side
    140,538x = 92,132,889,156
  5. Step 5: Solve for x
    x = 92,132,889,156/140,538
  6. Step 6: Final answer
    x = 655,572.79

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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.