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Finding the Third Proportional to 118,176.75 and 259,314.75

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Solution

The third proportional to 118,176.75 and 259,314.75 is: 569,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,176.75 : 259,314.75 = 259,314.75 : x
  2. Step 2: Convert to fraction form
    118,176.75/259,314.75 = 259,314.75/x
  3. Step 3: Cross multiply
    118,176.75x = 259,314.75 × 259,314.75
  4. Step 4: Simplify right side
    118,176.75x = 67,244,139,567.56
  5. Step 5: Solve for x
    x = 67,244,139,567.56/118,176.75
  6. Step 6: Final answer
    x = 569,013.28

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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.