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Finding the Third Proportional to 92,327 and 201,735

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Solution

The third proportional to 92,327 and 201,735 is: 440,792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,327 : 201,735 = 201,735 : x
  2. Step 2: Convert to fraction form
    92,327/201,735 = 201,735/x
  3. Step 3: Cross multiply
    92,327x = 201,735 × 201,735
  4. Step 4: Simplify right side
    92,327x = 40,697,010,225
  5. Step 5: Solve for x
    x = 40,697,010,225/92,327
  6. Step 6: Final answer
    x = 440,792.08

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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.