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Finding the Third Proportional to 112,824.28 and 245,883.38

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Solution

The third proportional to 112,824.28 and 245,883.38 is: 535,865.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,824.28 : 245,883.38 = 245,883.38 : x
  2. Step 2: Convert to fraction form
    112,824.28/245,883.38 = 245,883.38/x
  3. Step 3: Cross multiply
    112,824.28x = 245,883.38 × 245,883.38
  4. Step 4: Simplify right side
    112,824.28x = 60,458,634,101.39
  5. Step 5: Solve for x
    x = 60,458,634,101.39/112,824.28
  6. Step 6: Final answer
    x = 535,865.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.