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Finding the Third Proportional to 176,060 and 263,415

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Solution

The third proportional to 176,060 and 263,415 is: 394,112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,060 : 263,415 = 263,415 : x
  2. Step 2: Convert to fraction form
    176,060/263,415 = 263,415/x
  3. Step 3: Cross multiply
    176,060x = 263,415 × 263,415
  4. Step 4: Simplify right side
    176,060x = 69,387,462,225
  5. Step 5: Solve for x
    x = 69,387,462,225/176,060
  6. Step 6: Final answer
    x = 394,112.59

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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.