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Finding the Third Proportional to 117,188 and 186,321

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Solution

The third proportional to 117,188 and 186,321 is: 296,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,188 : 186,321 = 186,321 : x
  2. Step 2: Convert to fraction form
    117,188/186,321 = 186,321/x
  3. Step 3: Cross multiply
    117,188x = 186,321 × 186,321
  4. Step 4: Simplify right side
    117,188x = 34,715,515,041
  5. Step 5: Solve for x
    x = 34,715,515,041/117,188
  6. Step 6: Final answer
    x = 296,237.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.