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Finding the Third Proportional to 176,568 and 265,246

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Solution

The third proportional to 176,568 and 265,246 is: 398,460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,568 : 265,246 = 265,246 : x
  2. Step 2: Convert to fraction form
    176,568/265,246 = 265,246/x
  3. Step 3: Cross multiply
    176,568x = 265,246 × 265,246
  4. Step 4: Simplify right side
    176,568x = 70,355,440,516
  5. Step 5: Solve for x
    x = 70,355,440,516/176,568
  6. Step 6: Final answer
    x = 398,460.88

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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.