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Finding the Third Proportional to 113,409 and 244,152

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Solution

The third proportional to 113,409 and 244,152 is: 525,621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,409 : 244,152 = 244,152 : x
  2. Step 2: Convert to fraction form
    113,409/244,152 = 244,152/x
  3. Step 3: Cross multiply
    113,409x = 244,152 × 244,152
  4. Step 4: Simplify right side
    113,409x = 59,610,199,104
  5. Step 5: Solve for x
    x = 59,610,199,104/113,409
  6. Step 6: Final answer
    x = 525,621.42

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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.