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Finding the Third Proportional to 117,360 and 256,225

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Solution

The third proportional to 117,360 and 256,225 is: 559,400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,360 : 256,225 = 256,225 : x
  2. Step 2: Convert to fraction form
    117,360/256,225 = 256,225/x
  3. Step 3: Cross multiply
    117,360x = 256,225 × 256,225
  4. Step 4: Simplify right side
    117,360x = 65,651,250,625
  5. Step 5: Solve for x
    x = 65,651,250,625/117,360
  6. Step 6: Final answer
    x = 559,400.57

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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.