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Finding the Third Proportional to 176,348.25 and 252,078.75

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Solution

The third proportional to 176,348.25 and 252,078.75 is: 360,330.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,348.25 : 252,078.75 = 252,078.75 : x
  2. Step 2: Convert to fraction form
    176,348.25/252,078.75 = 252,078.75/x
  3. Step 3: Cross multiply
    176,348.25x = 252,078.75 × 252,078.75
  4. Step 4: Simplify right side
    176,348.25x = 63,543,696,201.56
  5. Step 5: Solve for x
    x = 63,543,696,201.56/176,348.25
  6. Step 6: Final answer
    x = 360,330.74

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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.