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Finding the Third Proportional to 207,310.50 and 435,510

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Solution

The third proportional to 207,310.50 and 435,510 is: 914,902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,310.50 : 435,510 = 435,510 : x
  2. Step 2: Convert to fraction form
    207,310.50/435,510 = 435,510/x
  3. Step 3: Cross multiply
    207,310.50x = 435,510 × 435,510
  4. Step 4: Simplify right side
    207,310.50x = 189,668,960,100
  5. Step 5: Solve for x
    x = 189,668,960,100/207,310.50
  6. Step 6: Final answer
    x = 914,902.82

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.