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Finding the Third Proportional to 171,027 and 371,262

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Solution

The third proportional to 171,027 and 371,262 is: 805,928.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,027 : 371,262 = 371,262 : x
  2. Step 2: Convert to fraction form
    171,027/371,262 = 371,262/x
  3. Step 3: Cross multiply
    171,027x = 371,262 × 371,262
  4. Step 4: Simplify right side
    171,027x = 137,835,472,644
  5. Step 5: Solve for x
    x = 137,835,472,644/171,027
  6. Step 6: Final answer
    x = 805,928.14

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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.