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Finding the Third Proportional to 117,307.69 and 256,114.69

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Solution

The third proportional to 117,307.69 and 256,114.69 is: 559,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,307.69 : 256,114.69 = 256,114.69 : x
  2. Step 2: Convert to fraction form
    117,307.69/256,114.69 = 256,114.69/x
  3. Step 3: Cross multiply
    117,307.69x = 256,114.69 × 256,114.69
  4. Step 4: Simplify right side
    117,307.69x = 65,594,733,153.22
  5. Step 5: Solve for x
    x = 65,594,733,153.22/117,307.69
  6. Step 6: Final answer
    x = 559,168.24

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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.