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Finding the Third Proportional to 116,887.50 and 255,645

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Solution

The third proportional to 116,887.50 and 255,645 is: 559,121.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,887.50 : 255,645 = 255,645 : x
  2. Step 2: Convert to fraction form
    116,887.50/255,645 = 255,645/x
  3. Step 3: Cross multiply
    116,887.50x = 255,645 × 255,645
  4. Step 4: Simplify right side
    116,887.50x = 65,354,366,025
  5. Step 5: Solve for x
    x = 65,354,366,025/116,887.50
  6. Step 6: Final answer
    x = 559,121.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.