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Finding the Third Proportional to 128,556 and 279,224.25

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Solution

The third proportional to 128,556 and 279,224.25 is: 606,476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,556 : 279,224.25 = 279,224.25 : x
  2. Step 2: Convert to fraction form
    128,556/279,224.25 = 279,224.25/x
  3. Step 3: Cross multiply
    128,556x = 279,224.25 × 279,224.25
  4. Step 4: Simplify right side
    128,556x = 77,966,181,788.06
  5. Step 5: Solve for x
    x = 77,966,181,788.06/128,556
  6. Step 6: Final answer
    x = 606,476.41

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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.