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Finding the Third Proportional to 118,246 and 187,206

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Solution

The third proportional to 118,246 and 187,206 is: 296,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,246 : 187,206 = 187,206 : x
  2. Step 2: Convert to fraction form
    118,246/187,206 = 187,206/x
  3. Step 3: Cross multiply
    118,246x = 187,206 × 187,206
  4. Step 4: Simplify right side
    118,246x = 35,046,086,436
  5. Step 5: Solve for x
    x = 35,046,086,436/118,246
  6. Step 6: Final answer
    x = 296,382.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.