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Finding the Third Proportional to 169,237 and 371,683

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Solution

The third proportional to 169,237 and 371,683 is: 816,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,237 : 371,683 = 371,683 : x
  2. Step 2: Convert to fraction form
    169,237/371,683 = 371,683/x
  3. Step 3: Cross multiply
    169,237x = 371,683 × 371,683
  4. Step 4: Simplify right side
    169,237x = 138,148,252,489
  5. Step 5: Solve for x
    x = 138,148,252,489/169,237
  6. Step 6: Final answer
    x = 816,300.53

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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.