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Finding the Third Proportional to 194,200 and 415,386

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Solution

The third proportional to 194,200 and 415,386 is: 888,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,200 : 415,386 = 415,386 : x
  2. Step 2: Convert to fraction form
    194,200/415,386 = 415,386/x
  3. Step 3: Cross multiply
    194,200x = 415,386 × 415,386
  4. Step 4: Simplify right side
    194,200x = 172,545,528,996
  5. Step 5: Solve for x
    x = 172,545,528,996/194,200
  6. Step 6: Final answer
    x = 888,493.97

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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.