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Finding the Third Proportional to 199,869.19 and 298,854.56

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Solution

The third proportional to 199,869.19 and 298,854.56 is: 446,862.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,869.19 : 298,854.56 = 298,854.56 : x
  2. Step 2: Convert to fraction form
    199,869.19/298,854.56 = 298,854.56/x
  3. Step 3: Cross multiply
    199,869.19x = 298,854.56 × 298,854.56
  4. Step 4: Simplify right side
    199,869.19x = 89,314,049,527.07
  5. Step 5: Solve for x
    x = 89,314,049,527.07/199,869.19
  6. Step 6: Final answer
    x = 446,862.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.