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Finding the Third Proportional to 154,498 and 239,097

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Solution

The third proportional to 154,498 and 239,097 is: 370,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,498 : 239,097 = 239,097 : x
  2. Step 2: Convert to fraction form
    154,498/239,097 = 239,097/x
  3. Step 3: Cross multiply
    154,498x = 239,097 × 239,097
  4. Step 4: Simplify right side
    154,498x = 57,167,375,409
  5. Step 5: Solve for x
    x = 57,167,375,409/154,498
  6. Step 6: Final answer
    x = 370,020.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.