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Finding the Third Proportional to 176,007 and 252,219

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Solution

The third proportional to 176,007 and 252,219 is: 361,431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,007 : 252,219 = 252,219 : x
  2. Step 2: Convert to fraction form
    176,007/252,219 = 252,219/x
  3. Step 3: Cross multiply
    176,007x = 252,219 × 252,219
  4. Step 4: Simplify right side
    176,007x = 63,614,423,961
  5. Step 5: Solve for x
    x = 63,614,423,961/176,007
  6. Step 6: Final answer
    x = 361,431.22

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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.