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Finding the Third Proportional to 116,632 and 245,714

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Solution

The third proportional to 116,632 and 245,714 is: 517,656.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,632 : 245,714 = 245,714 : x
  2. Step 2: Convert to fraction form
    116,632/245,714 = 245,714/x
  3. Step 3: Cross multiply
    116,632x = 245,714 × 245,714
  4. Step 4: Simplify right side
    116,632x = 60,375,369,796
  5. Step 5: Solve for x
    x = 60,375,369,796/116,632
  6. Step 6: Final answer
    x = 517,656.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.