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Finding the Third Proportional to 150,131.25 and 326,398.50

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Solution

The third proportional to 150,131.25 and 326,398.50 is: 709,618.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,131.25 : 326,398.50 = 326,398.50 : x
  2. Step 2: Convert to fraction form
    150,131.25/326,398.50 = 326,398.50/x
  3. Step 3: Cross multiply
    150,131.25x = 326,398.50 × 326,398.50
  4. Step 4: Simplify right side
    150,131.25x = 106,535,980,802.25
  5. Step 5: Solve for x
    x = 106,535,980,802.25/150,131.25
  6. Step 6: Final answer
    x = 709,618.96

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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.