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Finding the Third Proportional to 128,509 and 278,471

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Solution

The third proportional to 128,509 and 278,471 is: 603,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,509 : 278,471 = 278,471 : x
  2. Step 2: Convert to fraction form
    128,509/278,471 = 278,471/x
  3. Step 3: Cross multiply
    128,509x = 278,471 × 278,471
  4. Step 4: Simplify right side
    128,509x = 77,546,097,841
  5. Step 5: Solve for x
    x = 77,546,097,841/128,509
  6. Step 6: Final answer
    x = 603,429.31

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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.