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Finding the Third Proportional to 176,970 and 265,474

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Solution

The third proportional to 176,970 and 265,474 is: 398,239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,970 : 265,474 = 265,474 : x
  2. Step 2: Convert to fraction form
    176,970/265,474 = 265,474/x
  3. Step 3: Cross multiply
    176,970x = 265,474 × 265,474
  4. Step 4: Simplify right side
    176,970x = 70,476,444,676
  5. Step 5: Solve for x
    x = 70,476,444,676/176,970
  6. Step 6: Final answer
    x = 398,239.50

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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.