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Finding the Third Proportional to 132,292 and 192,598

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Solution

The third proportional to 132,292 and 192,598 is: 280,394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,292 : 192,598 = 192,598 : x
  2. Step 2: Convert to fraction form
    132,292/192,598 = 192,598/x
  3. Step 3: Cross multiply
    132,292x = 192,598 × 192,598
  4. Step 4: Simplify right side
    132,292x = 37,093,989,604
  5. Step 5: Solve for x
    x = 37,093,989,604/132,292
  6. Step 6: Final answer
    x = 280,394.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.