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Finding the Third Proportional to 176,012 and 252,224

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Solution

The third proportional to 176,012 and 252,224 is: 361,435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,012 : 252,224 = 252,224 : x
  2. Step 2: Convert to fraction form
    176,012/252,224 = 252,224/x
  3. Step 3: Cross multiply
    176,012x = 252,224 × 252,224
  4. Step 4: Simplify right side
    176,012x = 63,616,946,176
  5. Step 5: Solve for x
    x = 63,616,946,176/176,012
  6. Step 6: Final answer
    x = 361,435.28

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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.