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Finding the Third Proportional to 118,624.50 and 259,137

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Solution

The third proportional to 118,624.50 and 259,137 is: 566,088.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,624.50 : 259,137 = 259,137 : x
  2. Step 2: Convert to fraction form
    118,624.50/259,137 = 259,137/x
  3. Step 3: Cross multiply
    118,624.50x = 259,137 × 259,137
  4. Step 4: Simplify right side
    118,624.50x = 67,151,984,769
  5. Step 5: Solve for x
    x = 67,151,984,769/118,624.50
  6. Step 6: Final answer
    x = 566,088.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.