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Finding the Third Proportional to 194,306.06 and 418,136.81

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Solution

The third proportional to 194,306.06 and 418,136.81 is: 899,809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,306.06 : 418,136.81 = 418,136.81 : x
  2. Step 2: Convert to fraction form
    194,306.06/418,136.81 = 418,136.81/x
  3. Step 3: Cross multiply
    194,306.06x = 418,136.81 × 418,136.81
  4. Step 4: Simplify right side
    194,306.06x = 174,838,393,967.66
  5. Step 5: Solve for x
    x = 174,838,393,967.66/194,306.06
  6. Step 6: Final answer
    x = 899,809.26

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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.