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Finding the Third Proportional to 206,347.50 and 452,061

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Solution

The third proportional to 206,347.50 and 452,061 is: 990,364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,347.50 : 452,061 = 452,061 : x
  2. Step 2: Convert to fraction form
    206,347.50/452,061 = 452,061/x
  3. Step 3: Cross multiply
    206,347.50x = 452,061 × 452,061
  4. Step 4: Simplify right side
    206,347.50x = 204,359,147,721
  5. Step 5: Solve for x
    x = 204,359,147,721/206,347.50
  6. Step 6: Final answer
    x = 990,364.06

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