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Finding the Third Proportional to 154,837 and 218,038

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Solution

The third proportional to 154,837 and 218,038 is: 307,036.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,837 : 218,038 = 218,038 : x
  2. Step 2: Convert to fraction form
    154,837/218,038 = 218,038/x
  3. Step 3: Cross multiply
    154,837x = 218,038 × 218,038
  4. Step 4: Simplify right side
    154,837x = 47,540,569,444
  5. Step 5: Solve for x
    x = 47,540,569,444/154,837
  6. Step 6: Final answer
    x = 307,036.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.