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Finding the Third Proportional to 151,313.50 and 212,061.50

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Solution

The third proportional to 151,313.50 and 212,061.50 is: 297,198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,313.50 : 212,061.50 = 212,061.50 : x
  2. Step 2: Convert to fraction form
    151,313.50/212,061.50 = 212,061.50/x
  3. Step 3: Cross multiply
    151,313.50x = 212,061.50 × 212,061.50
  4. Step 4: Simplify right side
    151,313.50x = 44,970,079,782.25
  5. Step 5: Solve for x
    x = 44,970,079,782.25/151,313.50
  6. Step 6: Final answer
    x = 297,198.07

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.