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Finding the Third Proportional to 115,822 and 253,788

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Solution

The third proportional to 115,822 and 253,788 is: 556,097.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,822 : 253,788 = 253,788 : x
  2. Step 2: Convert to fraction form
    115,822/253,788 = 253,788/x
  3. Step 3: Cross multiply
    115,822x = 253,788 × 253,788
  4. Step 4: Simplify right side
    115,822x = 64,408,348,944
  5. Step 5: Solve for x
    x = 64,408,348,944/115,822
  6. Step 6: Final answer
    x = 556,097.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.