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Finding the Third Proportional to 117,143.50 and 251,237

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Solution

The third proportional to 117,143.50 and 251,237 is: 538,826.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,143.50 : 251,237 = 251,237 : x
  2. Step 2: Convert to fraction form
    117,143.50/251,237 = 251,237/x
  3. Step 3: Cross multiply
    117,143.50x = 251,237 × 251,237
  4. Step 4: Simplify right side
    117,143.50x = 63,120,030,169
  5. Step 5: Solve for x
    x = 63,120,030,169/117,143.50
  6. Step 6: Final answer
    x = 538,826.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.