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Finding the Third Proportional to 155,524.50 and 340,605

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Solution

The third proportional to 155,524.50 and 340,605 is: 745,938.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,524.50 : 340,605 = 340,605 : x
  2. Step 2: Convert to fraction form
    155,524.50/340,605 = 340,605/x
  3. Step 3: Cross multiply
    155,524.50x = 340,605 × 340,605
  4. Step 4: Simplify right side
    155,524.50x = 116,011,766,025
  5. Step 5: Solve for x
    x = 116,011,766,025/155,524.50
  6. Step 6: Final answer
    x = 745,938.85

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Why These Related Problems?

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