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Finding the Third Proportional to 126,258 and 277,425

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Solution

The third proportional to 126,258 and 277,425 is: 609,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,258 : 277,425 = 277,425 : x
  2. Step 2: Convert to fraction form
    126,258/277,425 = 277,425/x
  3. Step 3: Cross multiply
    126,258x = 277,425 × 277,425
  4. Step 4: Simplify right side
    126,258x = 76,964,630,625
  5. Step 5: Solve for x
    x = 76,964,630,625/126,258
  6. Step 6: Final answer
    x = 609,582.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.