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Finding the Third Proportional to 128,249 and 278,233

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Solution

The third proportional to 128,249 and 278,233 is: 603,619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,249 : 278,233 = 278,233 : x
  2. Step 2: Convert to fraction form
    128,249/278,233 = 278,233/x
  3. Step 3: Cross multiply
    128,249x = 278,233 × 278,233
  4. Step 4: Simplify right side
    128,249x = 77,413,602,289
  5. Step 5: Solve for x
    x = 77,413,602,289/128,249
  6. Step 6: Final answer
    x = 603,619.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.