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Finding the Third Proportional to 118,285.31 and 259,470.84

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Solution

The third proportional to 118,285.31 and 259,470.84 is: 569,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,285.31 : 259,470.84 = 259,470.84 : x
  2. Step 2: Convert to fraction form
    118,285.31/259,470.84 = 259,470.84/x
  3. Step 3: Cross multiply
    118,285.31x = 259,470.84 × 259,470.84
  4. Step 4: Simplify right side
    118,285.31x = 67,325,118,756.34
  5. Step 5: Solve for x
    x = 67,325,118,756.34/118,285.31
  6. Step 6: Final answer
    x = 569,175.64

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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.