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Finding the Third Proportional to 117,999.28 and 254,656.41

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Solution

The third proportional to 117,999.28 and 254,656.41 is: 549,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,999.28 : 254,656.41 = 254,656.41 : x
  2. Step 2: Convert to fraction form
    117,999.28/254,656.41 = 254,656.41/x
  3. Step 3: Cross multiply
    117,999.28x = 254,656.41 × 254,656.41
  4. Step 4: Simplify right side
    117,999.28x = 64,849,885,244.17
  5. Step 5: Solve for x
    x = 64,849,885,244.17/117,999.28
  6. Step 6: Final answer
    x = 549,578.65

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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.