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Finding the Third Proportional to 125,462 and 276,196

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Solution

The third proportional to 125,462 and 276,196 is: 608,026.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,462 : 276,196 = 276,196 : x
  2. Step 2: Convert to fraction form
    125,462/276,196 = 276,196/x
  3. Step 3: Cross multiply
    125,462x = 276,196 × 276,196
  4. Step 4: Simplify right side
    125,462x = 76,284,230,416
  5. Step 5: Solve for x
    x = 76,284,230,416/125,462
  6. Step 6: Final answer
    x = 608,026.58

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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.