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Finding the Third Proportional to 74,197.50 and 165,009

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Solution

The third proportional to 74,197.50 and 165,009 is: 366,966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,197.50 : 165,009 = 165,009 : x
  2. Step 2: Convert to fraction form
    74,197.50/165,009 = 165,009/x
  3. Step 3: Cross multiply
    74,197.50x = 165,009 × 165,009
  4. Step 4: Simplify right side
    74,197.50x = 27,227,970,081
  5. Step 5: Solve for x
    x = 27,227,970,081/74,197.50
  6. Step 6: Final answer
    x = 366,966.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.