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Finding the Third Proportional to 199,332 and 298,993.50

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Solution

The third proportional to 199,332 and 298,993.50 is: 448,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,332 : 298,993.50 = 298,993.50 : x
  2. Step 2: Convert to fraction form
    199,332/298,993.50 = 298,993.50/x
  3. Step 3: Cross multiply
    199,332x = 298,993.50 × 298,993.50
  4. Step 4: Simplify right side
    199,332x = 89,397,113,042.25
  5. Step 5: Solve for x
    x = 89,397,113,042.25/199,332
  6. Step 6: Final answer
    x = 448,483.50

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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.