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Finding the Third Proportional to 162,005 and 348,845

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Solution

The third proportional to 162,005 and 348,845 is: 751,167.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,005 : 348,845 = 348,845 : x
  2. Step 2: Convert to fraction form
    162,005/348,845 = 348,845/x
  3. Step 3: Cross multiply
    162,005x = 348,845 × 348,845
  4. Step 4: Simplify right side
    162,005x = 121,692,834,025
  5. Step 5: Solve for x
    x = 121,692,834,025/162,005
  6. Step 6: Final answer
    x = 751,167.15

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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.