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Finding the Third Proportional to 171,018 and 371,237

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Solution

The third proportional to 171,018 and 371,237 is: 805,862.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,018 : 371,237 = 371,237 : x
  2. Step 2: Convert to fraction form
    171,018/371,237 = 371,237/x
  3. Step 3: Cross multiply
    171,018x = 371,237 × 371,237
  4. Step 4: Simplify right side
    171,018x = 137,816,910,169
  5. Step 5: Solve for x
    x = 137,816,910,169/171,018
  6. Step 6: Final answer
    x = 805,862.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.