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Finding the Third Proportional to 151,159 and 329,948

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Solution

The third proportional to 151,159 and 329,948 is: 720,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,159 : 329,948 = 329,948 : x
  2. Step 2: Convert to fraction form
    151,159/329,948 = 329,948/x
  3. Step 3: Cross multiply
    151,159x = 329,948 × 329,948
  4. Step 4: Simplify right side
    151,159x = 108,865,682,704
  5. Step 5: Solve for x
    x = 108,865,682,704/151,159
  6. Step 6: Final answer
    x = 720,206.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.