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Finding the Third Proportional to 154,042 and 331,004

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Solution

The third proportional to 154,042 and 331,004 is: 711,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,042 : 331,004 = 331,004 : x
  2. Step 2: Convert to fraction form
    154,042/331,004 = 331,004/x
  3. Step 3: Cross multiply
    154,042x = 331,004 × 331,004
  4. Step 4: Simplify right side
    154,042x = 109,563,648,016
  5. Step 5: Solve for x
    x = 109,563,648,016/154,042
  6. Step 6: Final answer
    x = 711,258.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.