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Finding the Third Proportional to 163,614 and 347,001

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Solution

The third proportional to 163,614 and 347,001 is: 735,937.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,614 : 347,001 = 347,001 : x
  2. Step 2: Convert to fraction form
    163,614/347,001 = 347,001/x
  3. Step 3: Cross multiply
    163,614x = 347,001 × 347,001
  4. Step 4: Simplify right side
    163,614x = 120,409,694,001
  5. Step 5: Solve for x
    x = 120,409,694,001/163,614
  6. Step 6: Final answer
    x = 735,937.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.