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Finding the Third Proportional to 158,500 and 341,968

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Solution

The third proportional to 158,500 and 341,968 is: 737,805.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,500 : 341,968 = 341,968 : x
  2. Step 2: Convert to fraction form
    158,500/341,968 = 341,968/x
  3. Step 3: Cross multiply
    158,500x = 341,968 × 341,968
  4. Step 4: Simplify right side
    158,500x = 116,942,113,024
  5. Step 5: Solve for x
    x = 116,942,113,024/158,500
  6. Step 6: Final answer
    x = 737,805.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.