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Finding the Third Proportional to 171,654.75 and 347,978.25

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Solution

The third proportional to 171,654.75 and 347,978.25 is: 705,420.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,654.75 : 347,978.25 = 347,978.25 : x
  2. Step 2: Convert to fraction form
    171,654.75/347,978.25 = 347,978.25/x
  3. Step 3: Cross multiply
    171,654.75x = 347,978.25 × 347,978.25
  4. Step 4: Simplify right side
    171,654.75x = 121,088,862,473.06
  5. Step 5: Solve for x
    x = 121,088,862,473.06/171,654.75
  6. Step 6: Final answer
    x = 705,420.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.