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Finding the Third Proportional to 259,318 and 349,578

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Solution

The third proportional to 259,318 and 349,578 is: 471,254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,318 : 349,578 = 349,578 : x
  2. Step 2: Convert to fraction form
    259,318/349,578 = 349,578/x
  3. Step 3: Cross multiply
    259,318x = 349,578 × 349,578
  4. Step 4: Simplify right side
    259,318x = 122,204,778,084
  5. Step 5: Solve for x
    x = 122,204,778,084/259,318
  6. Step 6: Final answer
    x = 471,254.51

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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.