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Finding the Third Proportional to 113,411 and 244,156

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Solution

The third proportional to 113,411 and 244,156 is: 525,629.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,411 : 244,156 = 244,156 : x
  2. Step 2: Convert to fraction form
    113,411/244,156 = 244,156/x
  3. Step 3: Cross multiply
    113,411x = 244,156 × 244,156
  4. Step 4: Simplify right side
    113,411x = 59,612,152,336
  5. Step 5: Solve for x
    x = 59,612,152,336/113,411
  6. Step 6: Final answer
    x = 525,629.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.