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Finding the Third Proportional to 118,378.50 and 260,085

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Solution

The third proportional to 118,378.50 and 260,085 is: 571,423.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,378.50 : 260,085 = 260,085 : x
  2. Step 2: Convert to fraction form
    118,378.50/260,085 = 260,085/x
  3. Step 3: Cross multiply
    118,378.50x = 260,085 × 260,085
  4. Step 4: Simplify right side
    118,378.50x = 67,644,207,225
  5. Step 5: Solve for x
    x = 67,644,207,225/118,378.50
  6. Step 6: Final answer
    x = 571,423.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.