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Finding the Third Proportional to 158,334.50 and 233,315.50

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Solution

The third proportional to 158,334.50 and 233,315.50 is: 343,804.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,334.50 : 233,315.50 = 233,315.50 : x
  2. Step 2: Convert to fraction form
    158,334.50/233,315.50 = 233,315.50/x
  3. Step 3: Cross multiply
    158,334.50x = 233,315.50 × 233,315.50
  4. Step 4: Simplify right side
    158,334.50x = 54,436,122,540.25
  5. Step 5: Solve for x
    x = 54,436,122,540.25/158,334.50
  6. Step 6: Final answer
    x = 343,804.56

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.