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Finding the Third Proportional to 161,226 and 350,062.50

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Solution

The third proportional to 161,226 and 350,062.50 is: 760,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,226 : 350,062.50 = 350,062.50 : x
  2. Step 2: Convert to fraction form
    161,226/350,062.50 = 350,062.50/x
  3. Step 3: Cross multiply
    161,226x = 350,062.50 × 350,062.50
  4. Step 4: Simplify right side
    161,226x = 122,543,753,906.25
  5. Step 5: Solve for x
    x = 122,543,753,906.25/161,226
  6. Step 6: Final answer
    x = 760,074.39

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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.