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Finding the Third Proportional to 146,243 and 314,250

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Solution

The third proportional to 146,243 and 314,250 is: 675,266.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,243 : 314,250 = 314,250 : x
  2. Step 2: Convert to fraction form
    146,243/314,250 = 314,250/x
  3. Step 3: Cross multiply
    146,243x = 314,250 × 314,250
  4. Step 4: Simplify right side
    146,243x = 98,753,062,500
  5. Step 5: Solve for x
    x = 98,753,062,500/146,243
  6. Step 6: Final answer
    x = 675,266.94

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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.