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Finding the Third Proportional to 146,232.50 and 314,226.50

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Solution

The third proportional to 146,232.50 and 314,226.50 is: 675,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,232.50 : 314,226.50 = 314,226.50 : x
  2. Step 2: Convert to fraction form
    146,232.50/314,226.50 = 314,226.50/x
  3. Step 3: Cross multiply
    146,232.50x = 314,226.50 × 314,226.50
  4. Step 4: Simplify right side
    146,232.50x = 98,738,293,302.25
  5. Step 5: Solve for x
    x = 98,738,293,302.25/146,232.50
  6. Step 6: Final answer
    x = 675,214.42

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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.