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Finding the Third Proportional to 115,304 and 248,056.75

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Solution

The third proportional to 115,304 and 248,056.75 is: 533,651.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,304 : 248,056.75 = 248,056.75 : x
  2. Step 2: Convert to fraction form
    115,304/248,056.75 = 248,056.75/x
  3. Step 3: Cross multiply
    115,304x = 248,056.75 × 248,056.75
  4. Step 4: Simplify right side
    115,304x = 61,532,151,220.56
  5. Step 5: Solve for x
    x = 61,532,151,220.56/115,304
  6. Step 6: Final answer
    x = 533,651.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.