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Finding the Third Proportional to 199,395.50 and 306,484

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Solution

The third proportional to 199,395.50 and 306,484 is: 471,086.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,395.50 : 306,484 = 306,484 : x
  2. Step 2: Convert to fraction form
    199,395.50/306,484 = 306,484/x
  3. Step 3: Cross multiply
    199,395.50x = 306,484 × 306,484
  4. Step 4: Simplify right side
    199,395.50x = 93,932,442,256
  5. Step 5: Solve for x
    x = 93,932,442,256/199,395.50
  6. Step 6: Final answer
    x = 471,086.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.