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Finding the Third Proportional to 171,347 and 371,297

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Solution

The third proportional to 171,347 and 371,297 is: 804,574.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,347 : 371,297 = 371,297 : x
  2. Step 2: Convert to fraction form
    171,347/371,297 = 371,297/x
  3. Step 3: Cross multiply
    171,347x = 371,297 × 371,297
  4. Step 4: Simplify right side
    171,347x = 137,861,462,209
  5. Step 5: Solve for x
    x = 137,861,462,209/171,347
  6. Step 6: Final answer
    x = 804,574.71

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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.