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Finding the Third Proportional to 117,919.13 and 254,512.13

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Solution

The third proportional to 117,919.13 and 254,512.13 is: 549,329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,919.13 : 254,512.13 = 254,512.13 : x
  2. Step 2: Convert to fraction form
    117,919.13/254,512.13 = 254,512.13/x
  3. Step 3: Cross multiply
    117,919.13x = 254,512.13 × 254,512.13
  4. Step 4: Simplify right side
    117,919.13x = 64,776,421,772.02
  5. Step 5: Solve for x
    x = 64,776,421,772.02/117,919.13
  6. Step 6: Final answer
    x = 549,329.23

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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.