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Finding the Third Proportional to 193,625.02 and 419,417.16

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Solution

The third proportional to 193,625.02 and 419,417.16 is: 908,512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,625.02 : 419,417.16 = 419,417.16 : x
  2. Step 2: Convert to fraction form
    193,625.02/419,417.16 = 419,417.16/x
  3. Step 3: Cross multiply
    193,625.02x = 419,417.16 × 419,417.16
  4. Step 4: Simplify right side
    193,625.02x = 175,910,750,956.84
  5. Step 5: Solve for x
    x = 175,910,750,956.84/193,625.02
  6. Step 6: Final answer
    x = 908,512.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.