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Finding the Third Proportional to 176,511 and 269,385

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Solution

The third proportional to 176,511 and 269,385 is: 411,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,511 : 269,385 = 269,385 : x
  2. Step 2: Convert to fraction form
    176,511/269,385 = 269,385/x
  3. Step 3: Cross multiply
    176,511x = 269,385 × 269,385
  4. Step 4: Simplify right side
    176,511x = 72,568,278,225
  5. Step 5: Solve for x
    x = 72,568,278,225/176,511
  6. Step 6: Final answer
    x = 411,126.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.