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Finding the Third Proportional to 158,000.50 and 338,144.50

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Solution

The third proportional to 158,000.50 and 338,144.50 is: 723,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,000.50 : 338,144.50 = 338,144.50 : x
  2. Step 2: Convert to fraction form
    158,000.50/338,144.50 = 338,144.50/x
  3. Step 3: Cross multiply
    158,000.50x = 338,144.50 × 338,144.50
  4. Step 4: Simplify right side
    158,000.50x = 114,341,702,880.25
  5. Step 5: Solve for x
    x = 114,341,702,880.25/158,000.50
  6. Step 6: Final answer
    x = 723,679.37

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.