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Finding the Third Proportional to 194,160 and 415,314

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Solution

The third proportional to 194,160 and 415,314 is: 888,368.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,160 : 415,314 = 415,314 : x
  2. Step 2: Convert to fraction form
    194,160/415,314 = 415,314/x
  3. Step 3: Cross multiply
    194,160x = 415,314 × 415,314
  4. Step 4: Simplify right side
    194,160x = 172,485,718,596
  5. Step 5: Solve for x
    x = 172,485,718,596/194,160
  6. Step 6: Final answer
    x = 888,368.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.