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Finding the Third Proportional to 259,318.13 and 349,580.25

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Solution

The third proportional to 259,318.13 and 349,580.25 is: 471,260.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,318.13 : 349,580.25 = 349,580.25 : x
  2. Step 2: Convert to fraction form
    259,318.13/349,580.25 = 349,580.25/x
  3. Step 3: Cross multiply
    259,318.13x = 349,580.25 × 349,580.25
  4. Step 4: Simplify right side
    259,318.13x = 122,206,351,190.06
  5. Step 5: Solve for x
    x = 122,206,351,190.06/259,318.13
  6. Step 6: Final answer
    x = 471,260.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.