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Finding the Third Proportional to 125,228 and 268,258

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Solution

The third proportional to 125,228 and 268,258 is: 574,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,228 : 268,258 = 268,258 : x
  2. Step 2: Convert to fraction form
    125,228/268,258 = 268,258/x
  3. Step 3: Cross multiply
    125,228x = 268,258 × 268,258
  4. Step 4: Simplify right side
    125,228x = 71,962,354,564
  5. Step 5: Solve for x
    x = 71,962,354,564/125,228
  6. Step 6: Final answer
    x = 574,650.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.