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Finding the Third Proportional to 116,843 and 253,369

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Solution

The third proportional to 116,843 and 253,369 is: 549,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,843 : 253,369 = 253,369 : x
  2. Step 2: Convert to fraction form
    116,843/253,369 = 253,369/x
  3. Step 3: Cross multiply
    116,843x = 253,369 × 253,369
  4. Step 4: Simplify right side
    116,843x = 64,195,850,161
  5. Step 5: Solve for x
    x = 64,195,850,161/116,843
  6. Step 6: Final answer
    x = 549,419.74

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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.