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Finding the Third Proportional to 176,554 and 252,212

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Solution

The third proportional to 176,554 and 252,212 is: 360,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,554 : 252,212 = 252,212 : x
  2. Step 2: Convert to fraction form
    176,554/252,212 = 252,212/x
  3. Step 3: Cross multiply
    176,554x = 252,212 × 252,212
  4. Step 4: Simplify right side
    176,554x = 63,610,892,944
  5. Step 5: Solve for x
    x = 63,610,892,944/176,554
  6. Step 6: Final answer
    x = 360,291.43

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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.