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Finding the Third Proportional to 116,963 and 253,798

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Solution

The third proportional to 116,963 and 253,798 is: 550,716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,963 : 253,798 = 253,798 : x
  2. Step 2: Convert to fraction form
    116,963/253,798 = 253,798/x
  3. Step 3: Cross multiply
    116,963x = 253,798 × 253,798
  4. Step 4: Simplify right side
    116,963x = 64,413,424,804
  5. Step 5: Solve for x
    x = 64,413,424,804/116,963
  6. Step 6: Final answer
    x = 550,716.25

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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.