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Finding the Third Proportional to 74,390 and 161,416

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Solution

The third proportional to 74,390 and 161,416 is: 350,250.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,390 : 161,416 = 161,416 : x
  2. Step 2: Convert to fraction form
    74,390/161,416 = 161,416/x
  3. Step 3: Cross multiply
    74,390x = 161,416 × 161,416
  4. Step 4: Simplify right side
    74,390x = 26,055,125,056
  5. Step 5: Solve for x
    x = 26,055,125,056/74,390
  6. Step 6: Final answer
    x = 350,250.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.