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Finding the Third Proportional to 146,216.25 and 314,190

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Solution

The third proportional to 146,216.25 and 314,190 is: 675,132.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,216.25 : 314,190 = 314,190 : x
  2. Step 2: Convert to fraction form
    146,216.25/314,190 = 314,190/x
  3. Step 3: Cross multiply
    146,216.25x = 314,190 × 314,190
  4. Step 4: Simplify right side
    146,216.25x = 98,715,356,100
  5. Step 5: Solve for x
    x = 98,715,356,100/146,216.25
  6. Step 6: Final answer
    x = 675,132.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.