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Finding the Third Proportional to 230,887.13 and 345,404.25

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Solution

The third proportional to 230,887.13 and 345,404.25 is: 516,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,887.13 : 345,404.25 = 345,404.25 : x
  2. Step 2: Convert to fraction form
    230,887.13/345,404.25 = 345,404.25/x
  3. Step 3: Cross multiply
    230,887.13x = 345,404.25 × 345,404.25
  4. Step 4: Simplify right side
    230,887.13x = 119,304,095,918.06
  5. Step 5: Solve for x
    x = 119,304,095,918.06/230,887.13
  6. Step 6: Final answer
    x = 516,720.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.