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Finding the Third Proportional to 118,152 and 259,269

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Solution

The third proportional to 118,152 and 259,269 is: 568,931.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,152 : 259,269 = 259,269 : x
  2. Step 2: Convert to fraction form
    118,152/259,269 = 259,269/x
  3. Step 3: Cross multiply
    118,152x = 259,269 × 259,269
  4. Step 4: Simplify right side
    118,152x = 67,220,414,361
  5. Step 5: Solve for x
    x = 67,220,414,361/118,152
  6. Step 6: Final answer
    x = 568,931.67

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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.