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Finding the Third Proportional to 154,098 and 336,548

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Solution

The third proportional to 154,098 and 336,548 is: 735,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,098 : 336,548 = 336,548 : x
  2. Step 2: Convert to fraction form
    154,098/336,548 = 336,548/x
  3. Step 3: Cross multiply
    154,098x = 336,548 × 336,548
  4. Step 4: Simplify right side
    154,098x = 113,264,556,304
  5. Step 5: Solve for x
    x = 113,264,556,304/154,098
  6. Step 6: Final answer
    x = 735,016.39

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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.