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Finding the Third Proportional to 110,364 and 175,374

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Solution

The third proportional to 110,364 and 175,374 is: 278,678.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,364 : 175,374 = 175,374 : x
  2. Step 2: Convert to fraction form
    110,364/175,374 = 175,374/x
  3. Step 3: Cross multiply
    110,364x = 175,374 × 175,374
  4. Step 4: Simplify right side
    110,364x = 30,756,039,876
  5. Step 5: Solve for x
    x = 30,756,039,876/110,364
  6. Step 6: Final answer
    x = 278,678.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.