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Finding the Third Proportional to 238,982 and 366,828

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Solution

The third proportional to 238,982 and 366,828 is: 563,066.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,982 : 366,828 = 366,828 : x
  2. Step 2: Convert to fraction form
    238,982/366,828 = 366,828/x
  3. Step 3: Cross multiply
    238,982x = 366,828 × 366,828
  4. Step 4: Simplify right side
    238,982x = 134,562,781,584
  5. Step 5: Solve for x
    x = 134,562,781,584/238,982
  6. Step 6: Final answer
    x = 563,066.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.