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Finding the Third Proportional to 199,323 and 291,310.50

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Solution

The third proportional to 199,323 and 291,310.50 is: 425,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,323 : 291,310.50 = 291,310.50 : x
  2. Step 2: Convert to fraction form
    199,323/291,310.50 = 291,310.50/x
  3. Step 3: Cross multiply
    199,323x = 291,310.50 × 291,310.50
  4. Step 4: Simplify right side
    199,323x = 84,861,807,410.25
  5. Step 5: Solve for x
    x = 84,861,807,410.25/199,323
  6. Step 6: Final answer
    x = 425,750.20

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.