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Finding the Third Proportional to 194,720 and 418,526

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Solution

The third proportional to 194,720 and 418,526 is: 899,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,720 : 418,526 = 418,526 : x
  2. Step 2: Convert to fraction form
    194,720/418,526 = 418,526/x
  3. Step 3: Cross multiply
    194,720x = 418,526 × 418,526
  4. Step 4: Simplify right side
    194,720x = 175,164,012,676
  5. Step 5: Solve for x
    x = 175,164,012,676/194,720
  6. Step 6: Final answer
    x = 899,568.68

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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.