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Finding the Third Proportional to 169,146 and 371,770

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Solution

The third proportional to 169,146 and 371,770 is: 817,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,146 : 371,770 = 371,770 : x
  2. Step 2: Convert to fraction form
    169,146/371,770 = 371,770/x
  3. Step 3: Cross multiply
    169,146x = 371,770 × 371,770
  4. Step 4: Simplify right side
    169,146x = 138,212,932,900
  5. Step 5: Solve for x
    x = 138,212,932,900/169,146
  6. Step 6: Final answer
    x = 817,122.09

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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.