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Finding the Third Proportional to 176,162 and 265,095

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Solution

The third proportional to 176,162 and 265,095 is: 398,924.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,162 : 265,095 = 265,095 : x
  2. Step 2: Convert to fraction form
    176,162/265,095 = 265,095/x
  3. Step 3: Cross multiply
    176,162x = 265,095 × 265,095
  4. Step 4: Simplify right side
    176,162x = 70,275,359,025
  5. Step 5: Solve for x
    x = 70,275,359,025/176,162
  6. Step 6: Final answer
    x = 398,924.62

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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.