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Finding the Third Proportional to 209,452.50 and 452,115

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Solution

The third proportional to 209,452.50 and 452,115 is: 975,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,452.50 : 452,115 = 452,115 : x
  2. Step 2: Convert to fraction form
    209,452.50/452,115 = 452,115/x
  3. Step 3: Cross multiply
    209,452.50x = 452,115 × 452,115
  4. Step 4: Simplify right side
    209,452.50x = 204,407,973,225
  5. Step 5: Solve for x
    x = 204,407,973,225/209,452.50
  6. Step 6: Final answer
    x = 975,915.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.