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Finding the Third Proportional to 119,228 and 248,248

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Solution

The third proportional to 119,228 and 248,248 is: 516,884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,228 : 248,248 = 248,248 : x
  2. Step 2: Convert to fraction form
    119,228/248,248 = 248,248/x
  3. Step 3: Cross multiply
    119,228x = 248,248 × 248,248
  4. Step 4: Simplify right side
    119,228x = 61,627,069,504
  5. Step 5: Solve for x
    x = 61,627,069,504/119,228
  6. Step 6: Final answer
    x = 516,884.20

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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.