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Finding the Third Proportional to 117,839 and 254,514

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Solution

The third proportional to 117,839 and 254,514 is: 549,710.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,839 : 254,514 = 254,514 : x
  2. Step 2: Convert to fraction form
    117,839/254,514 = 254,514/x
  3. Step 3: Cross multiply
    117,839x = 254,514 × 254,514
  4. Step 4: Simplify right side
    117,839x = 64,777,376,196
  5. Step 5: Solve for x
    x = 64,777,376,196/117,839
  6. Step 6: Final answer
    x = 549,710.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.