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Finding the Third Proportional to 116,984 and 253,412

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Solution

The third proportional to 116,984 and 253,412 is: 548,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,984 : 253,412 = 253,412 : x
  2. Step 2: Convert to fraction form
    116,984/253,412 = 253,412/x
  3. Step 3: Cross multiply
    116,984x = 253,412 × 253,412
  4. Step 4: Simplify right side
    116,984x = 64,217,641,744
  5. Step 5: Solve for x
    x = 64,217,641,744/116,984
  6. Step 6: Final answer
    x = 548,943.80

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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.