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Finding the Third Proportional to 119,216 and 248,224

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Solution

The third proportional to 119,216 and 248,224 is: 516,836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,216 : 248,224 = 248,224 : x
  2. Step 2: Convert to fraction form
    119,216/248,224 = 248,224/x
  3. Step 3: Cross multiply
    119,216x = 248,224 × 248,224
  4. Step 4: Simplify right side
    119,216x = 61,615,154,176
  5. Step 5: Solve for x
    x = 61,615,154,176/119,216
  6. Step 6: Final answer
    x = 516,836.28

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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.