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Finding the Third Proportional to 202,759.50 and 418,371

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Solution

The third proportional to 202,759.50 and 418,371 is: 863,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,759.50 : 418,371 = 418,371 : x
  2. Step 2: Convert to fraction form
    202,759.50/418,371 = 418,371/x
  3. Step 3: Cross multiply
    202,759.50x = 418,371 × 418,371
  4. Step 4: Simplify right side
    202,759.50x = 175,034,293,641
  5. Step 5: Solve for x
    x = 175,034,293,641/202,759.50
  6. Step 6: Final answer
    x = 863,260.63

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.