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Finding the Third Proportional to 163,011 and 345,648

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Solution

The third proportional to 163,011 and 345,648 is: 732,910.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,011 : 345,648 = 345,648 : x
  2. Step 2: Convert to fraction form
    163,011/345,648 = 345,648/x
  3. Step 3: Cross multiply
    163,011x = 345,648 × 345,648
  4. Step 4: Simplify right side
    163,011x = 119,472,539,904
  5. Step 5: Solve for x
    x = 119,472,539,904/163,011
  6. Step 6: Final answer
    x = 732,910.91

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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.