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Finding the Third Proportional to 194,096.25 and 411,520.50

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Solution

The third proportional to 194,096.25 and 411,520.50 is: 872,500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,096.25 : 411,520.50 = 411,520.50 : x
  2. Step 2: Convert to fraction form
    194,096.25/411,520.50 = 411,520.50/x
  3. Step 3: Cross multiply
    194,096.25x = 411,520.50 × 411,520.50
  4. Step 4: Simplify right side
    194,096.25x = 169,349,121,920.25
  5. Step 5: Solve for x
    x = 169,349,121,920.25/194,096.25
  6. Step 6: Final answer
    x = 872,500.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.