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Finding the Third Proportional to 171,441 and 371,070

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Solution

The third proportional to 171,441 and 371,070 is: 803,150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,441 : 371,070 = 371,070 : x
  2. Step 2: Convert to fraction form
    171,441/371,070 = 371,070/x
  3. Step 3: Cross multiply
    171,441x = 371,070 × 371,070
  4. Step 4: Simplify right side
    171,441x = 137,692,944,900
  5. Step 5: Solve for x
    x = 137,692,944,900/171,441
  6. Step 6: Final answer
    x = 803,150.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.