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Finding the Third Proportional to 258,149.59 and 559,193.75

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Solution

The third proportional to 258,149.59 and 559,193.75 is: 1,211,304.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,149.59 : 559,193.75 = 559,193.75 : x
  2. Step 2: Convert to fraction form
    258,149.59/559,193.75 = 559,193.75/x
  3. Step 3: Cross multiply
    258,149.59x = 559,193.75 × 559,193.75
  4. Step 4: Simplify right side
    258,149.59x = 312,697,650,039.06
  5. Step 5: Solve for x
    x = 312,697,650,039.06/258,149.59
  6. Step 6: Final answer
    x = 1,211,304.06

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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.