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Finding the Third Proportional to 176,206 and 265,086

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Solution

The third proportional to 176,206 and 265,086 is: 398,797.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,206 : 265,086 = 265,086 : x
  2. Step 2: Convert to fraction form
    176,206/265,086 = 265,086/x
  3. Step 3: Cross multiply
    176,206x = 265,086 × 265,086
  4. Step 4: Simplify right side
    176,206x = 70,270,587,396
  5. Step 5: Solve for x
    x = 70,270,587,396/176,206
  6. Step 6: Final answer
    x = 398,797.93

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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.