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Finding the Third Proportional to 134,499 and 202,329

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Solution

The third proportional to 134,499 and 202,329 is: 304,366.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,499 : 202,329 = 202,329 : x
  2. Step 2: Convert to fraction form
    134,499/202,329 = 202,329/x
  3. Step 3: Cross multiply
    134,499x = 202,329 × 202,329
  4. Step 4: Simplify right side
    134,499x = 40,937,024,241
  5. Step 5: Solve for x
    x = 40,937,024,241/134,499
  6. Step 6: Final answer
    x = 304,366.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.