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Finding the Third Proportional to 117,714 and 251,586

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Solution

The third proportional to 117,714 and 251,586 is: 537,705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,714 : 251,586 = 251,586 : x
  2. Step 2: Convert to fraction form
    117,714/251,586 = 251,586/x
  3. Step 3: Cross multiply
    117,714x = 251,586 × 251,586
  4. Step 4: Simplify right side
    117,714x = 63,295,515,396
  5. Step 5: Solve for x
    x = 63,295,515,396/117,714
  6. Step 6: Final answer
    x = 537,705.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.