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Finding the Third Proportional to 159,939 and 342,020

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Solution

The third proportional to 159,939 and 342,020 is: 731,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,939 : 342,020 = 342,020 : x
  2. Step 2: Convert to fraction form
    159,939/342,020 = 342,020/x
  3. Step 3: Cross multiply
    159,939x = 342,020 × 342,020
  4. Step 4: Simplify right side
    159,939x = 116,977,680,400
  5. Step 5: Solve for x
    x = 116,977,680,400/159,939
  6. Step 6: Final answer
    x = 731,389.34

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Why These Related Problems?

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