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Finding the Third Proportional to 151,166 and 329,964

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Solution

The third proportional to 151,166 and 329,964 is: 720,242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,166 : 329,964 = 329,964 : x
  2. Step 2: Convert to fraction form
    151,166/329,964 = 329,964/x
  3. Step 3: Cross multiply
    151,166x = 329,964 × 329,964
  4. Step 4: Simplify right side
    151,166x = 108,876,241,296
  5. Step 5: Solve for x
    x = 108,876,241,296/151,166
  6. Step 6: Final answer
    x = 720,242.92

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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.