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Finding the Third Proportional to 114,714.56 and 246,031.31

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Solution

The third proportional to 114,714.56 and 246,031.31 is: 527,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,714.56 : 246,031.31 = 246,031.31 : x
  2. Step 2: Convert to fraction form
    114,714.56/246,031.31 = 246,031.31/x
  3. Step 3: Cross multiply
    114,714.56x = 246,031.31 × 246,031.31
  4. Step 4: Simplify right side
    114,714.56x = 60,531,406,730.47
  5. Step 5: Solve for x
    x = 60,531,406,730.47/114,714.56
  6. Step 6: Final answer
    x = 527,669.77

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