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Finding the Third Proportional to 171,471.94 and 244,597.22

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Solution

The third proportional to 171,471.94 and 244,597.22 is: 348,907.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,471.94 : 244,597.22 = 244,597.22 : x
  2. Step 2: Convert to fraction form
    171,471.94/244,597.22 = 244,597.22/x
  3. Step 3: Cross multiply
    171,471.94x = 244,597.22 × 244,597.22
  4. Step 4: Simplify right side
    171,471.94x = 59,827,799,420.24
  5. Step 5: Solve for x
    x = 59,827,799,420.24/171,471.94
  6. Step 6: Final answer
    x = 348,907.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.