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Finding the Third Proportional to 238,767 and 372,678

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Solution

The third proportional to 238,767 and 372,678 is: 581,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,767 : 372,678 = 372,678 : x
  2. Step 2: Convert to fraction form
    238,767/372,678 = 372,678/x
  3. Step 3: Cross multiply
    238,767x = 372,678 × 372,678
  4. Step 4: Simplify right side
    238,767x = 138,888,891,684
  5. Step 5: Solve for x
    x = 138,888,891,684/238,767
  6. Step 6: Final answer
    x = 581,692.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.