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Finding the Third Proportional to 118,386 and 251,838

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Solution

The third proportional to 118,386 and 251,838 is: 535,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,386 : 251,838 = 251,838 : x
  2. Step 2: Convert to fraction form
    118,386/251,838 = 251,838/x
  3. Step 3: Cross multiply
    118,386x = 251,838 × 251,838
  4. Step 4: Simplify right side
    118,386x = 63,422,378,244
  5. Step 5: Solve for x
    x = 63,422,378,244/118,386
  6. Step 6: Final answer
    x = 535,725.32

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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.