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Finding the Third Proportional to 194,805 and 425,337.75

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Solution

The third proportional to 194,805 and 425,337.75 is: 928,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,805 : 425,337.75 = 425,337.75 : x
  2. Step 2: Convert to fraction form
    194,805/425,337.75 = 425,337.75/x
  3. Step 3: Cross multiply
    194,805x = 425,337.75 × 425,337.75
  4. Step 4: Simplify right side
    194,805x = 180,912,201,575.06
  5. Step 5: Solve for x
    x = 180,912,201,575.06/194,805
  6. Step 6: Final answer
    x = 928,683.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.