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Finding the Third Proportional to 199,182 and 435,660

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Solution

The third proportional to 199,182 and 435,660 is: 952,895.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,182 : 435,660 = 435,660 : x
  2. Step 2: Convert to fraction form
    199,182/435,660 = 435,660/x
  3. Step 3: Cross multiply
    199,182x = 435,660 × 435,660
  4. Step 4: Simplify right side
    199,182x = 189,799,635,600
  5. Step 5: Solve for x
    x = 189,799,635,600/199,182
  6. Step 6: Final answer
    x = 952,895.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.