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Finding the Third Proportional to 169,883 and 238,140

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Solution

The third proportional to 169,883 and 238,140 is: 333,821.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,883 : 238,140 = 238,140 : x
  2. Step 2: Convert to fraction form
    169,883/238,140 = 238,140/x
  3. Step 3: Cross multiply
    169,883x = 238,140 × 238,140
  4. Step 4: Simplify right side
    169,883x = 56,710,659,600
  5. Step 5: Solve for x
    x = 56,710,659,600/169,883
  6. Step 6: Final answer
    x = 333,821.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.