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Finding the Third Proportional to 113,421 and 244,176

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Solution

The third proportional to 113,421 and 244,176 is: 525,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,421 : 244,176 = 244,176 : x
  2. Step 2: Convert to fraction form
    113,421/244,176 = 244,176/x
  3. Step 3: Cross multiply
    113,421x = 244,176 × 244,176
  4. Step 4: Simplify right side
    113,421x = 59,621,918,976
  5. Step 5: Solve for x
    x = 59,621,918,976/113,421
  6. Step 6: Final answer
    x = 525,669.14

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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.