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Finding the Third Proportional to 195,960 and 286,378

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Solution

The third proportional to 195,960 and 286,378 is: 418,515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,960 : 286,378 = 286,378 : x
  2. Step 2: Convert to fraction form
    195,960/286,378 = 286,378/x
  3. Step 3: Cross multiply
    195,960x = 286,378 × 286,378
  4. Step 4: Simplify right side
    195,960x = 82,012,358,884
  5. Step 5: Solve for x
    x = 82,012,358,884/195,960
  6. Step 6: Final answer
    x = 418,515.81

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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.