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Finding the Third Proportional to 258,158.25 and 559,219.50

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Solution

The third proportional to 258,158.25 and 559,219.50 is: 1,211,375.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,158.25 : 559,219.50 = 559,219.50 : x
  2. Step 2: Convert to fraction form
    258,158.25/559,219.50 = 559,219.50/x
  3. Step 3: Cross multiply
    258,158.25x = 559,219.50 × 559,219.50
  4. Step 4: Simplify right side
    258,158.25x = 312,726,449,180.25
  5. Step 5: Solve for x
    x = 312,726,449,180.25/258,158.25
  6. Step 6: Final answer
    x = 1,211,375.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.