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Finding the Third Proportional to 150,342 and 326,914.50

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Solution

The third proportional to 150,342 and 326,914.50 is: 710,866.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,342 : 326,914.50 = 326,914.50 : x
  2. Step 2: Convert to fraction form
    150,342/326,914.50 = 326,914.50/x
  3. Step 3: Cross multiply
    150,342x = 326,914.50 × 326,914.50
  4. Step 4: Simplify right side
    150,342x = 106,873,090,310.25
  5. Step 5: Solve for x
    x = 106,873,090,310.25/150,342
  6. Step 6: Final answer
    x = 710,866.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.