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Finding the Third Proportional to 118,975.50 and 259,254

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Solution

The third proportional to 118,975.50 and 259,254 is: 564,928.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,975.50 : 259,254 = 259,254 : x
  2. Step 2: Convert to fraction form
    118,975.50/259,254 = 259,254/x
  3. Step 3: Cross multiply
    118,975.50x = 259,254 × 259,254
  4. Step 4: Simplify right side
    118,975.50x = 67,212,636,516
  5. Step 5: Solve for x
    x = 67,212,636,516/118,975.50
  6. Step 6: Final answer
    x = 564,928.38

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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.