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Finding the Third Proportional to 113,458 and 188,440

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Solution

The third proportional to 113,458 and 188,440 is: 312,976.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,458 : 188,440 = 188,440 : x
  2. Step 2: Convert to fraction form
    113,458/188,440 = 188,440/x
  3. Step 3: Cross multiply
    113,458x = 188,440 × 188,440
  4. Step 4: Simplify right side
    113,458x = 35,509,633,600
  5. Step 5: Solve for x
    x = 35,509,633,600/113,458
  6. Step 6: Final answer
    x = 312,976.02

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.