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Finding the Third Proportional to 119,232 and 248,256

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Solution

The third proportional to 119,232 and 248,256 is: 516,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,232 : 248,256 = 248,256 : x
  2. Step 2: Convert to fraction form
    119,232/248,256 = 248,256/x
  3. Step 3: Cross multiply
    119,232x = 248,256 × 248,256
  4. Step 4: Simplify right side
    119,232x = 61,631,041,536
  5. Step 5: Solve for x
    x = 61,631,041,536/119,232
  6. Step 6: Final answer
    x = 516,900.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.