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Finding the Third Proportional to 172,548.98 and 369,086.63

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Solution

The third proportional to 172,548.98 and 369,086.63 is: 789,485.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,548.98 : 369,086.63 = 369,086.63 : x
  2. Step 2: Convert to fraction form
    172,548.98/369,086.63 = 369,086.63/x
  3. Step 3: Cross multiply
    172,548.98x = 369,086.63 × 369,086.63
  4. Step 4: Simplify right side
    172,548.98x = 136,224,936,753.89
  5. Step 5: Solve for x
    x = 136,224,936,753.89/172,548.98
  6. Step 6: Final answer
    x = 789,485.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.