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Finding the Third Proportional to 115,944 and 254,028

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Solution

The third proportional to 115,944 and 254,028 is: 556,563.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,944 : 254,028 = 254,028 : x
  2. Step 2: Convert to fraction form
    115,944/254,028 = 254,028/x
  3. Step 3: Cross multiply
    115,944x = 254,028 × 254,028
  4. Step 4: Simplify right side
    115,944x = 64,530,224,784
  5. Step 5: Solve for x
    x = 64,530,224,784/115,944
  6. Step 6: Final answer
    x = 556,563.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.