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Finding the Third Proportional to 112,968 and 244,532

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Solution

The third proportional to 112,968 and 244,532 is: 529,317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,968 : 244,532 = 244,532 : x
  2. Step 2: Convert to fraction form
    112,968/244,532 = 244,532/x
  3. Step 3: Cross multiply
    112,968x = 244,532 × 244,532
  4. Step 4: Simplify right side
    112,968x = 59,795,899,024
  5. Step 5: Solve for x
    x = 59,795,899,024/112,968
  6. Step 6: Final answer
    x = 529,317.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.