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Finding the Third Proportional to 194,869.13 and 418,744.13

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Solution

The third proportional to 194,869.13 and 418,744.13 is: 899,817.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,869.13 : 418,744.13 = 418,744.13 : x
  2. Step 2: Convert to fraction form
    194,869.13/418,744.13 = 418,744.13/x
  3. Step 3: Cross multiply
    194,869.13x = 418,744.13 × 418,744.13
  4. Step 4: Simplify right side
    194,869.13x = 175,346,642,222.02
  5. Step 5: Solve for x
    x = 175,346,642,222.02/194,869.13
  6. Step 6: Final answer
    x = 899,817.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.