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Finding the Third Proportional to 177,746.75 and 251,506.25

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Solution

The third proportional to 177,746.75 and 251,506.25 is: 355,873.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,746.75 : 251,506.25 = 251,506.25 : x
  2. Step 2: Convert to fraction form
    177,746.75/251,506.25 = 251,506.25/x
  3. Step 3: Cross multiply
    177,746.75x = 251,506.25 × 251,506.25
  4. Step 4: Simplify right side
    177,746.75x = 63,255,393,789.06
  5. Step 5: Solve for x
    x = 63,255,393,789.06/177,746.75
  6. Step 6: Final answer
    x = 355,873.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.