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Finding the Third Proportional to 125,224 and 278,477

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Solution

The third proportional to 125,224 and 278,477 is: 619,285.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,224 : 278,477 = 278,477 : x
  2. Step 2: Convert to fraction form
    125,224/278,477 = 278,477/x
  3. Step 3: Cross multiply
    125,224x = 278,477 × 278,477
  4. Step 4: Simplify right side
    125,224x = 77,549,439,529
  5. Step 5: Solve for x
    x = 77,549,439,529/125,224
  6. Step 6: Final answer
    x = 619,285.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.