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Finding the Third Proportional to 203,175 and 467,275.50

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Solution

The third proportional to 203,175 and 467,275.50 is: 1,074,671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,175 : 467,275.50 = 467,275.50 : x
  2. Step 2: Convert to fraction form
    203,175/467,275.50 = 467,275.50/x
  3. Step 3: Cross multiply
    203,175x = 467,275.50 × 467,275.50
  4. Step 4: Simplify right side
    203,175x = 218,346,392,900.25
  5. Step 5: Solve for x
    x = 218,346,392,900.25/203,175
  6. Step 6: Final answer
    x = 1,074,671.55

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.