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Finding the Third Proportional to 118,224 and 251,784

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Solution

The third proportional to 118,224 and 251,784 is: 536,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,224 : 251,784 = 251,784 : x
  2. Step 2: Convert to fraction form
    118,224/251,784 = 251,784/x
  3. Step 3: Cross multiply
    118,224x = 251,784 × 251,784
  4. Step 4: Simplify right side
    118,224x = 63,395,182,656
  5. Step 5: Solve for x
    x = 63,395,182,656/118,224
  6. Step 6: Final answer
    x = 536,229.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.