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Finding the Third Proportional to 159,283 and 342,179

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Solution

The third proportional to 159,283 and 342,179 is: 735,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,283 : 342,179 = 342,179 : x
  2. Step 2: Convert to fraction form
    159,283/342,179 = 342,179/x
  3. Step 3: Cross multiply
    159,283x = 342,179 × 342,179
  4. Step 4: Simplify right side
    159,283x = 117,086,468,041
  5. Step 5: Solve for x
    x = 117,086,468,041/159,283
  6. Step 6: Final answer
    x = 735,084.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.