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Finding the Third Proportional to 169,141 and 371,763

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Solution

The third proportional to 169,141 and 371,763 is: 817,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,141 : 371,763 = 371,763 : x
  2. Step 2: Convert to fraction form
    169,141/371,763 = 371,763/x
  3. Step 3: Cross multiply
    169,141x = 371,763 × 371,763
  4. Step 4: Simplify right side
    169,141x = 138,207,728,169
  5. Step 5: Solve for x
    x = 138,207,728,169/169,141
  6. Step 6: Final answer
    x = 817,115.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.