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Finding the Third Proportional to 116,844 and 253,371

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Solution

The third proportional to 116,844 and 253,371 is: 549,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,844 : 253,371 = 253,371 : x
  2. Step 2: Convert to fraction form
    116,844/253,371 = 253,371/x
  3. Step 3: Cross multiply
    116,844x = 253,371 × 253,371
  4. Step 4: Simplify right side
    116,844x = 64,196,863,641
  5. Step 5: Solve for x
    x = 64,196,863,641/116,844
  6. Step 6: Final answer
    x = 549,423.71

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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.