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Finding the Third Proportional to 116,973 and 253,386

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Solution

The third proportional to 116,973 and 253,386 is: 548,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,973 : 253,386 = 253,386 : x
  2. Step 2: Convert to fraction form
    116,973/253,386 = 253,386/x
  3. Step 3: Cross multiply
    116,973x = 253,386 × 253,386
  4. Step 4: Simplify right side
    116,973x = 64,204,464,996
  5. Step 5: Solve for x
    x = 64,204,464,996/116,973
  6. Step 6: Final answer
    x = 548,882.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.