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Finding the Third Proportional to 176,560 and 265,234

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Solution

The third proportional to 176,560 and 265,234 is: 398,442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,560 : 265,234 = 265,234 : x
  2. Step 2: Convert to fraction form
    176,560/265,234 = 265,234/x
  3. Step 3: Cross multiply
    176,560x = 265,234 × 265,234
  4. Step 4: Simplify right side
    176,560x = 70,349,074,756
  5. Step 5: Solve for x
    x = 70,349,074,756/176,560
  6. Step 6: Final answer
    x = 398,442.88

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