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Finding the Third Proportional to 176,973 and 265,479

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Solution

The third proportional to 176,973 and 265,479 is: 398,247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,973 : 265,479 = 265,479 : x
  2. Step 2: Convert to fraction form
    176,973/265,479 = 265,479/x
  3. Step 3: Cross multiply
    176,973x = 265,479 × 265,479
  4. Step 4: Simplify right side
    176,973x = 70,479,099,441
  5. Step 5: Solve for x
    x = 70,479,099,441/176,973
  6. Step 6: Final answer
    x = 398,247.75

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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.