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Finding the Third Proportional to 265,674.75 and 308,859.75

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Solution

The third proportional to 265,674.75 and 308,859.75 is: 359,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,674.75 : 308,859.75 = 308,859.75 : x
  2. Step 2: Convert to fraction form
    265,674.75/308,859.75 = 308,859.75/x
  3. Step 3: Cross multiply
    265,674.75x = 308,859.75 × 308,859.75
  4. Step 4: Simplify right side
    265,674.75x = 95,394,345,170.06
  5. Step 5: Solve for x
    x = 95,394,345,170.06/265,674.75
  6. Step 6: Final answer
    x = 359,064.40

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.