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Finding the Third Proportional to 117,960.25 and 256,656.25

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Solution

The third proportional to 117,960.25 and 256,656.25 is: 558,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,960.25 : 256,656.25 = 256,656.25 : x
  2. Step 2: Convert to fraction form
    117,960.25/256,656.25 = 256,656.25/x
  3. Step 3: Cross multiply
    117,960.25x = 256,656.25 × 256,656.25
  4. Step 4: Simplify right side
    117,960.25x = 65,872,430,664.06
  5. Step 5: Solve for x
    x = 65,872,430,664.06/117,960.25
  6. Step 6: Final answer
    x = 558,429.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.