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Finding the Third Proportional to 163,002 and 345,628

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Solution

The third proportional to 163,002 and 345,628 is: 732,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,002 : 345,628 = 345,628 : x
  2. Step 2: Convert to fraction form
    163,002/345,628 = 345,628/x
  3. Step 3: Cross multiply
    163,002x = 345,628 × 345,628
  4. Step 4: Simplify right side
    163,002x = 119,458,714,384
  5. Step 5: Solve for x
    x = 119,458,714,384/163,002
  6. Step 6: Final answer
    x = 732,866.56

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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.