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Finding the Third Proportional to 169,249 and 371,712

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Solution

The third proportional to 169,249 and 371,712 is: 816,370.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,249 : 371,712 = 371,712 : x
  2. Step 2: Convert to fraction form
    169,249/371,712 = 371,712/x
  3. Step 3: Cross multiply
    169,249x = 371,712 × 371,712
  4. Step 4: Simplify right side
    169,249x = 138,169,810,944
  5. Step 5: Solve for x
    x = 138,169,810,944/169,249
  6. Step 6: Final answer
    x = 816,370.03

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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.