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Finding the Third Proportional to 176,566 and 252,230

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Solution

The third proportional to 176,566 and 252,230 is: 360,318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,566 : 252,230 = 252,230 : x
  2. Step 2: Convert to fraction form
    176,566/252,230 = 252,230/x
  3. Step 3: Cross multiply
    176,566x = 252,230 × 252,230
  4. Step 4: Simplify right side
    176,566x = 63,619,972,900
  5. Step 5: Solve for x
    x = 63,619,972,900/176,566
  6. Step 6: Final answer
    x = 360,318.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.