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Finding the Third Proportional to 176,606 and 264,214

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Solution

The third proportional to 176,606 and 264,214 is: 395,281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,606 : 264,214 = 264,214 : x
  2. Step 2: Convert to fraction form
    176,606/264,214 = 264,214/x
  3. Step 3: Cross multiply
    176,606x = 264,214 × 264,214
  4. Step 4: Simplify right side
    176,606x = 69,809,037,796
  5. Step 5: Solve for x
    x = 69,809,037,796/176,606
  6. Step 6: Final answer
    x = 395,281.24

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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.