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Finding the Third Proportional to 117,477 and 251,572.50

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Solution

The third proportional to 117,477 and 251,572.50 is: 538,732.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,477 : 251,572.50 = 251,572.50 : x
  2. Step 2: Convert to fraction form
    117,477/251,572.50 = 251,572.50/x
  3. Step 3: Cross multiply
    117,477x = 251,572.50 × 251,572.50
  4. Step 4: Simplify right side
    117,477x = 63,288,722,756.25
  5. Step 5: Solve for x
    x = 63,288,722,756.25/117,477
  6. Step 6: Final answer
    x = 538,732.88

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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.