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Finding the Third Proportional to 193,534.50 and 298,932

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Solution

The third proportional to 193,534.50 and 298,932 is: 461,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,534.50 : 298,932 = 298,932 : x
  2. Step 2: Convert to fraction form
    193,534.50/298,932 = 298,932/x
  3. Step 3: Cross multiply
    193,534.50x = 298,932 × 298,932
  4. Step 4: Simplify right side
    193,534.50x = 89,360,340,624
  5. Step 5: Solve for x
    x = 89,360,340,624/193,534.50
  6. Step 6: Final answer
    x = 461,728.22

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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.