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Finding the Third Proportional to 161,963 and 348,530

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Solution

The third proportional to 161,963 and 348,530 is: 750,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,963 : 348,530 = 348,530 : x
  2. Step 2: Convert to fraction form
    161,963/348,530 = 348,530/x
  3. Step 3: Cross multiply
    161,963x = 348,530 × 348,530
  4. Step 4: Simplify right side
    161,963x = 121,473,160,900
  5. Step 5: Solve for x
    x = 121,473,160,900/161,963
  6. Step 6: Final answer
    x = 750,005.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.