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Finding the Third Proportional to 199,323 and 308,947.50

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Solution

The third proportional to 199,323 and 308,947.50 is: 478,863.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,323 : 308,947.50 = 308,947.50 : x
  2. Step 2: Convert to fraction form
    199,323/308,947.50 = 308,947.50/x
  3. Step 3: Cross multiply
    199,323x = 308,947.50 × 308,947.50
  4. Step 4: Simplify right side
    199,323x = 95,448,557,756.25
  5. Step 5: Solve for x
    x = 95,448,557,756.25/199,323
  6. Step 6: Final answer
    x = 478,863.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.