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Finding the Third Proportional to 161,229 and 350,070

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Solution

The third proportional to 161,229 and 350,070 is: 760,092.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,229 : 350,070 = 350,070 : x
  2. Step 2: Convert to fraction form
    161,229/350,070 = 350,070/x
  3. Step 3: Cross multiply
    161,229x = 350,070 × 350,070
  4. Step 4: Simplify right side
    161,229x = 122,549,004,900
  5. Step 5: Solve for x
    x = 122,549,004,900/161,229
  6. Step 6: Final answer
    x = 760,092.82

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