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Finding the Third Proportional to 250,236 and 377,514

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Solution

The third proportional to 250,236 and 377,514 is: 569,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,236 : 377,514 = 377,514 : x
  2. Step 2: Convert to fraction form
    250,236/377,514 = 377,514/x
  3. Step 3: Cross multiply
    250,236x = 377,514 × 377,514
  4. Step 4: Simplify right side
    250,236x = 142,516,820,196
  5. Step 5: Solve for x
    x = 142,516,820,196/250,236
  6. Step 6: Final answer
    x = 569,529.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.