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Finding the Third Proportional to 207,981.50 and 329,045

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Solution

The third proportional to 207,981.50 and 329,045 is: 520,578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,981.50 : 329,045 = 329,045 : x
  2. Step 2: Convert to fraction form
    207,981.50/329,045 = 329,045/x
  3. Step 3: Cross multiply
    207,981.50x = 329,045 × 329,045
  4. Step 4: Simplify right side
    207,981.50x = 108,270,612,025
  5. Step 5: Solve for x
    x = 108,270,612,025/207,981.50
  6. Step 6: Final answer
    x = 520,578.09

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.