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Finding the Third Proportional to 187,926.33 and 409,770.14

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Solution

The third proportional to 187,926.33 and 409,770.14 is: 893,496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,926.33 : 409,770.14 = 409,770.14 : x
  2. Step 2: Convert to fraction form
    187,926.33/409,770.14 = 409,770.14/x
  3. Step 3: Cross multiply
    187,926.33x = 409,770.14 × 409,770.14
  4. Step 4: Simplify right side
    187,926.33x = 167,911,568,147.83
  5. Step 5: Solve for x
    x = 167,911,568,147.83/187,926.33
  6. Step 6: Final answer
    x = 893,496.78

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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.