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Finding the Third Proportional to 161,157 and 349,098

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Solution

The third proportional to 161,157 and 349,098 is: 756,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,157 : 349,098 = 349,098 : x
  2. Step 2: Convert to fraction form
    161,157/349,098 = 349,098/x
  3. Step 3: Cross multiply
    161,157x = 349,098 × 349,098
  4. Step 4: Simplify right side
    161,157x = 121,869,413,604
  5. Step 5: Solve for x
    x = 121,869,413,604/161,157
  6. Step 6: Final answer
    x = 756,215.45

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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.