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Finding the Third Proportional to 107,981.50 and 232,519

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Solution

The third proportional to 107,981.50 and 232,519 is: 500,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,981.50 : 232,519 = 232,519 : x
  2. Step 2: Convert to fraction form
    107,981.50/232,519 = 232,519/x
  3. Step 3: Cross multiply
    107,981.50x = 232,519 × 232,519
  4. Step 4: Simplify right side
    107,981.50x = 54,065,085,361
  5. Step 5: Solve for x
    x = 54,065,085,361/107,981.50
  6. Step 6: Final answer
    x = 500,688.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.