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Finding the Third Proportional to 74,222 and 155,735

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Solution

The third proportional to 74,222 and 155,735 is: 326,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,222 : 155,735 = 155,735 : x
  2. Step 2: Convert to fraction form
    74,222/155,735 = 155,735/x
  3. Step 3: Cross multiply
    74,222x = 155,735 × 155,735
  4. Step 4: Simplify right side
    74,222x = 24,253,390,225
  5. Step 5: Solve for x
    x = 24,253,390,225/74,222
  6. Step 6: Final answer
    x = 326,768.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.