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Finding the Third Proportional to 159,789 and 342,022

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Solution

The third proportional to 159,789 and 342,022 is: 732,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,789 : 342,022 = 342,022 : x
  2. Step 2: Convert to fraction form
    159,789/342,022 = 342,022/x
  3. Step 3: Cross multiply
    159,789x = 342,022 × 342,022
  4. Step 4: Simplify right side
    159,789x = 116,979,048,484
  5. Step 5: Solve for x
    x = 116,979,048,484/159,789
  6. Step 6: Final answer
    x = 732,084.49

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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.