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Finding the Third Proportional to 92,267 and 201,768

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Solution

The third proportional to 92,267 and 201,768 is: 441,223.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,267 : 201,768 = 201,768 : x
  2. Step 2: Convert to fraction form
    92,267/201,768 = 201,768/x
  3. Step 3: Cross multiply
    92,267x = 201,768 × 201,768
  4. Step 4: Simplify right side
    92,267x = 40,710,325,824
  5. Step 5: Solve for x
    x = 40,710,325,824/92,267
  6. Step 6: Final answer
    x = 441,223.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.