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Finding the Third Proportional to 158,142 and 231,622.50

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Solution

The third proportional to 158,142 and 231,622.50 is: 339,245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,142 : 231,622.50 = 231,622.50 : x
  2. Step 2: Convert to fraction form
    158,142/231,622.50 = 231,622.50/x
  3. Step 3: Cross multiply
    158,142x = 231,622.50 × 231,622.50
  4. Step 4: Simplify right side
    158,142x = 53,648,982,506.25
  5. Step 5: Solve for x
    x = 53,648,982,506.25/158,142
  6. Step 6: Final answer
    x = 339,245.63

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.