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Finding the Third Proportional to 113,646 and 239,273.25

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Solution

The third proportional to 113,646 and 239,273.25 is: 503,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,646 : 239,273.25 = 239,273.25 : x
  2. Step 2: Convert to fraction form
    113,646/239,273.25 = 239,273.25/x
  3. Step 3: Cross multiply
    113,646x = 239,273.25 × 239,273.25
  4. Step 4: Simplify right side
    113,646x = 57,251,688,165.56
  5. Step 5: Solve for x
    x = 57,251,688,165.56/113,646
  6. Step 6: Final answer
    x = 503,772.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.