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Finding the Third Proportional to 116,635.50 and 242,025.75

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Solution

The third proportional to 116,635.50 and 242,025.75 is: 502,218.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,635.50 : 242,025.75 = 242,025.75 : x
  2. Step 2: Convert to fraction form
    116,635.50/242,025.75 = 242,025.75/x
  3. Step 3: Cross multiply
    116,635.50x = 242,025.75 × 242,025.75
  4. Step 4: Simplify right side
    116,635.50x = 58,576,463,663.06
  5. Step 5: Solve for x
    x = 58,576,463,663.06/116,635.50
  6. Step 6: Final answer
    x = 502,218.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.