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Finding the Third Proportional to 74,824 and 161,517.50

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Solution

The third proportional to 74,824 and 161,517.50 is: 348,656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,824 : 161,517.50 = 161,517.50 : x
  2. Step 2: Convert to fraction form
    74,824/161,517.50 = 161,517.50/x
  3. Step 3: Cross multiply
    74,824x = 161,517.50 × 161,517.50
  4. Step 4: Simplify right side
    74,824x = 26,087,902,806.25
  5. Step 5: Solve for x
    x = 26,087,902,806.25/74,824
  6. Step 6: Final answer
    x = 348,656.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.