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Finding the Third Proportional to 113,416 and 244,164

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Solution

The third proportional to 113,416 and 244,164 is: 525,640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,416 : 244,164 = 244,164 : x
  2. Step 2: Convert to fraction form
    113,416/244,164 = 244,164/x
  3. Step 3: Cross multiply
    113,416x = 244,164 × 244,164
  4. Step 4: Simplify right side
    113,416x = 59,616,058,896
  5. Step 5: Solve for x
    x = 59,616,058,896/113,416
  6. Step 6: Final answer
    x = 525,640.64

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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.