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Finding the Third Proportional to 193,497.75 and 298,874.25

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Solution

The third proportional to 193,497.75 and 298,874.25 is: 461,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,497.75 : 298,874.25 = 298,874.25 : x
  2. Step 2: Convert to fraction form
    193,497.75/298,874.25 = 298,874.25/x
  3. Step 3: Cross multiply
    193,497.75x = 298,874.25 × 298,874.25
  4. Step 4: Simplify right side
    193,497.75x = 89,325,817,313.06
  5. Step 5: Solve for x
    x = 89,325,817,313.06/193,497.75
  6. Step 6: Final answer
    x = 461,637.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.