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Finding the Third Proportional to 74,447 and 162,279

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Solution

The third proportional to 74,447 and 162,279 is: 353,734.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,447 : 162,279 = 162,279 : x
  2. Step 2: Convert to fraction form
    74,447/162,279 = 162,279/x
  3. Step 3: Cross multiply
    74,447x = 162,279 × 162,279
  4. Step 4: Simplify right side
    74,447x = 26,334,473,841
  5. Step 5: Solve for x
    x = 26,334,473,841/74,447
  6. Step 6: Final answer
    x = 353,734.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.