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Finding the Third Proportional to 238,061 and 368,918

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Solution

The third proportional to 238,061 and 368,918 is: 571,704.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,061 : 368,918 = 368,918 : x
  2. Step 2: Convert to fraction form
    238,061/368,918 = 368,918/x
  3. Step 3: Cross multiply
    238,061x = 368,918 × 368,918
  4. Step 4: Simplify right side
    238,061x = 136,100,490,724
  5. Step 5: Solve for x
    x = 136,100,490,724/238,061
  6. Step 6: Final answer
    x = 571,704.27

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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.