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Finding the Third Proportional to 162,007 and 348,849

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Solution

The third proportional to 162,007 and 348,849 is: 751,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,007 : 348,849 = 348,849 : x
  2. Step 2: Convert to fraction form
    162,007/348,849 = 348,849/x
  3. Step 3: Cross multiply
    162,007x = 348,849 × 348,849
  4. Step 4: Simplify right side
    162,007x = 121,695,624,801
  5. Step 5: Solve for x
    x = 121,695,624,801/162,007
  6. Step 6: Final answer
    x = 751,175.10

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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.