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Finding the Third Proportional to 113,397 and 237,729

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Solution

The third proportional to 113,397 and 237,729 is: 498,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,397 : 237,729 = 237,729 : x
  2. Step 2: Convert to fraction form
    113,397/237,729 = 237,729/x
  3. Step 3: Cross multiply
    113,397x = 237,729 × 237,729
  4. Step 4: Simplify right side
    113,397x = 56,515,077,441
  5. Step 5: Solve for x
    x = 56,515,077,441/113,397
  6. Step 6: Final answer
    x = 498,382.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.