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Finding the Third Proportional to 199,269 and 296,080.50

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Solution

The third proportional to 199,269 and 296,080.50 is: 439,926.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,269 : 296,080.50 = 296,080.50 : x
  2. Step 2: Convert to fraction form
    199,269/296,080.50 = 296,080.50/x
  3. Step 3: Cross multiply
    199,269x = 296,080.50 × 296,080.50
  4. Step 4: Simplify right side
    199,269x = 87,663,662,480.25
  5. Step 5: Solve for x
    x = 87,663,662,480.25/199,269
  6. Step 6: Final answer
    x = 439,926.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.