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Finding the Third Proportional to 117,400 and 176,656

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Solution

The third proportional to 117,400 and 176,656 is: 265,820.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,400 : 176,656 = 176,656 : x
  2. Step 2: Convert to fraction form
    117,400/176,656 = 176,656/x
  3. Step 3: Cross multiply
    117,400x = 176,656 × 176,656
  4. Step 4: Simplify right side
    117,400x = 31,207,342,336
  5. Step 5: Solve for x
    x = 31,207,342,336/117,400
  6. Step 6: Final answer
    x = 265,820.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.