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Finding the Third Proportional to 116,965.13 and 246,152.81

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Solution

The third proportional to 116,965.13 and 246,152.81 is: 518,027.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,965.13 : 246,152.81 = 246,152.81 : x
  2. Step 2: Convert to fraction form
    116,965.13/246,152.81 = 246,152.81/x
  3. Step 3: Cross multiply
    116,965.13x = 246,152.81 × 246,152.81
  4. Step 4: Simplify right side
    116,965.13x = 60,591,207,101.66
  5. Step 5: Solve for x
    x = 60,591,207,101.66/116,965.13
  6. Step 6: Final answer
    x = 518,027.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.