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Finding the Third Proportional to 116,097.19 and 255,027.38

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Solution

The third proportional to 116,097.19 and 255,027.38 is: 560,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,097.19 : 255,027.38 = 255,027.38 : x
  2. Step 2: Convert to fraction form
    116,097.19/255,027.38 = 255,027.38/x
  3. Step 3: Cross multiply
    116,097.19x = 255,027.38 × 255,027.38
  4. Step 4: Simplify right side
    116,097.19x = 65,038,961,999.39
  5. Step 5: Solve for x
    x = 65,038,961,999.39/116,097.19
  6. Step 6: Final answer
    x = 560,211.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.