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Finding the Third Proportional to 171,483 and 371,586

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Solution

The third proportional to 171,483 and 371,586 is: 805,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,483 : 371,586 = 371,586 : x
  2. Step 2: Convert to fraction form
    171,483/371,586 = 371,586/x
  3. Step 3: Cross multiply
    171,483x = 371,586 × 371,586
  4. Step 4: Simplify right side
    171,483x = 138,076,155,396
  5. Step 5: Solve for x
    x = 138,076,155,396/171,483
  6. Step 6: Final answer
    x = 805,188.59

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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.