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Finding the Third Proportional to 113,246 and 251,036

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Solution

The third proportional to 113,246 and 251,036 is: 556,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,246 : 251,036 = 251,036 : x
  2. Step 2: Convert to fraction form
    113,246/251,036 = 251,036/x
  3. Step 3: Cross multiply
    113,246x = 251,036 × 251,036
  4. Step 4: Simplify right side
    113,246x = 63,019,073,296
  5. Step 5: Solve for x
    x = 63,019,073,296/113,246
  6. Step 6: Final answer
    x = 556,479.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.