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Finding the Third Proportional to 169,123 and 260,043

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Solution

The third proportional to 169,123 and 260,043 is: 399,841.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,123 : 260,043 = 260,043 : x
  2. Step 2: Convert to fraction form
    169,123/260,043 = 260,043/x
  3. Step 3: Cross multiply
    169,123x = 260,043 × 260,043
  4. Step 4: Simplify right side
    169,123x = 67,622,361,849
  5. Step 5: Solve for x
    x = 67,622,361,849/169,123
  6. Step 6: Final answer
    x = 399,841.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.