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Finding the Third Proportional to 139,236.75 and 285,851.25

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Solution

The third proportional to 139,236.75 and 285,851.25 is: 586,848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,236.75 : 285,851.25 = 285,851.25 : x
  2. Step 2: Convert to fraction form
    139,236.75/285,851.25 = 285,851.25/x
  3. Step 3: Cross multiply
    139,236.75x = 285,851.25 × 285,851.25
  4. Step 4: Simplify right side
    139,236.75x = 81,710,937,126.56
  5. Step 5: Solve for x
    x = 81,710,937,126.56/139,236.75
  6. Step 6: Final answer
    x = 586,848.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.