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Finding the Third Proportional to 207,211.50 and 309,538

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Solution

The third proportional to 207,211.50 and 309,538 is: 462,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,211.50 : 309,538 = 309,538 : x
  2. Step 2: Convert to fraction form
    207,211.50/309,538 = 309,538/x
  3. Step 3: Cross multiply
    207,211.50x = 309,538 × 309,538
  4. Step 4: Simplify right side
    207,211.50x = 95,813,773,444
  5. Step 5: Solve for x
    x = 95,813,773,444/207,211.50
  6. Step 6: Final answer
    x = 462,396.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.