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Finding the Third Proportional to 176,561 and 265,236

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Solution

The third proportional to 176,561 and 265,236 is: 398,446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,561 : 265,236 = 265,236 : x
  2. Step 2: Convert to fraction form
    176,561/265,236 = 265,236/x
  3. Step 3: Cross multiply
    176,561x = 265,236 × 265,236
  4. Step 4: Simplify right side
    176,561x = 70,350,135,696
  5. Step 5: Solve for x
    x = 70,350,135,696/176,561
  6. Step 6: Final answer
    x = 398,446.63

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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.