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Finding the Third Proportional to 251,202 and 379,363

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Solution

The third proportional to 251,202 and 379,363 is: 572,910.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,202 : 379,363 = 379,363 : x
  2. Step 2: Convert to fraction form
    251,202/379,363 = 379,363/x
  3. Step 3: Cross multiply
    251,202x = 379,363 × 379,363
  4. Step 4: Simplify right side
    251,202x = 143,916,285,769
  5. Step 5: Solve for x
    x = 143,916,285,769/251,202
  6. Step 6: Final answer
    x = 572,910.59

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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.