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Finding the Third Proportional to 154,038 and 330,996

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Solution

The third proportional to 154,038 and 330,996 is: 711,242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,038 : 330,996 = 330,996 : x
  2. Step 2: Convert to fraction form
    154,038/330,996 = 330,996/x
  3. Step 3: Cross multiply
    154,038x = 330,996 × 330,996
  4. Step 4: Simplify right side
    154,038x = 109,558,352,016
  5. Step 5: Solve for x
    x = 109,558,352,016/154,038
  6. Step 6: Final answer
    x = 711,242.37

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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.