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Finding the Third Proportional to 194,132.95 and 415,254.09

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Solution

The third proportional to 194,132.95 and 415,254.09 is: 888,236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,132.95 : 415,254.09 = 415,254.09 : x
  2. Step 2: Convert to fraction form
    194,132.95/415,254.09 = 415,254.09/x
  3. Step 3: Cross multiply
    194,132.95x = 415,254.09 × 415,254.09
  4. Step 4: Simplify right side
    194,132.95x = 172,435,962,376.13
  5. Step 5: Solve for x
    x = 172,435,962,376.13/194,132.95
  6. Step 6: Final answer
    x = 888,236.44

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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.