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Finding the Third Proportional to 151,145 and 329,921

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Solution

The third proportional to 151,145 and 329,921 is: 720,155.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,145 : 329,921 = 329,921 : x
  2. Step 2: Convert to fraction form
    151,145/329,921 = 329,921/x
  3. Step 3: Cross multiply
    151,145x = 329,921 × 329,921
  4. Step 4: Simplify right side
    151,145x = 108,847,866,241
  5. Step 5: Solve for x
    x = 108,847,866,241/151,145
  6. Step 6: Final answer
    x = 720,155.26

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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.