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Finding the Third Proportional to 183,853 and 379,514

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Solution

The third proportional to 183,853 and 379,514 is: 783,402.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,853 : 379,514 = 379,514 : x
  2. Step 2: Convert to fraction form
    183,853/379,514 = 379,514/x
  3. Step 3: Cross multiply
    183,853x = 379,514 × 379,514
  4. Step 4: Simplify right side
    183,853x = 144,030,876,196
  5. Step 5: Solve for x
    x = 144,030,876,196/183,853
  6. Step 6: Final answer
    x = 783,402.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.