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Finding the Third Proportional to 118,219.50 and 259,432.88

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Solution

The third proportional to 118,219.50 and 259,432.88 is: 569,325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,219.50 : 259,432.88 = 259,432.88 : x
  2. Step 2: Convert to fraction form
    118,219.50/259,432.88 = 259,432.88/x
  3. Step 3: Cross multiply
    118,219.50x = 259,432.88 × 259,432.88
  4. Step 4: Simplify right side
    118,219.50x = 67,305,416,630.77
  5. Step 5: Solve for x
    x = 67,305,416,630.77/118,219.50
  6. Step 6: Final answer
    x = 569,325.84

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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.