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Finding the Third Proportional to 139,934.25 and 306,112.50

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Solution

The third proportional to 139,934.25 and 306,112.50 is: 669,634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,934.25 : 306,112.50 = 306,112.50 : x
  2. Step 2: Convert to fraction form
    139,934.25/306,112.50 = 306,112.50/x
  3. Step 3: Cross multiply
    139,934.25x = 306,112.50 × 306,112.50
  4. Step 4: Simplify right side
    139,934.25x = 93,704,862,656.25
  5. Step 5: Solve for x
    x = 93,704,862,656.25/139,934.25
  6. Step 6: Final answer
    x = 669,634.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.