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Finding the Third Proportional to 125,224 and 256,206

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Solution

The third proportional to 125,224 and 256,206 is: 524,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,224 : 256,206 = 256,206 : x
  2. Step 2: Convert to fraction form
    125,224/256,206 = 256,206/x
  3. Step 3: Cross multiply
    125,224x = 256,206 × 256,206
  4. Step 4: Simplify right side
    125,224x = 65,641,514,436
  5. Step 5: Solve for x
    x = 65,641,514,436/125,224
  6. Step 6: Final answer
    x = 524,192.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.