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Finding the Third Proportional to 159,088 and 343,084

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Solution

The third proportional to 159,088 and 343,084 is: 739,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,088 : 343,084 = 343,084 : x
  2. Step 2: Convert to fraction form
    159,088/343,084 = 343,084/x
  3. Step 3: Cross multiply
    159,088x = 343,084 × 343,084
  4. Step 4: Simplify right side
    159,088x = 117,706,631,056
  5. Step 5: Solve for x
    x = 117,706,631,056/159,088
  6. Step 6: Final answer
    x = 739,883.78

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Why These Related Problems?

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