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Finding the Third Proportional to 117,963 and 254,698

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Solution

The third proportional to 117,963 and 254,698 is: 549,927.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,963 : 254,698 = 254,698 : x
  2. Step 2: Convert to fraction form
    117,963/254,698 = 254,698/x
  3. Step 3: Cross multiply
    117,963x = 254,698 × 254,698
  4. Step 4: Simplify right side
    117,963x = 64,871,071,204
  5. Step 5: Solve for x
    x = 64,871,071,204/117,963
  6. Step 6: Final answer
    x = 549,927.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.