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Finding the Third Proportional to 199,350 and 436,068

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Solution

The third proportional to 199,350 and 436,068 is: 953,876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,350 : 436,068 = 436,068 : x
  2. Step 2: Convert to fraction form
    199,350/436,068 = 436,068/x
  3. Step 3: Cross multiply
    199,350x = 436,068 × 436,068
  4. Step 4: Simplify right side
    199,350x = 190,155,300,624
  5. Step 5: Solve for x
    x = 190,155,300,624/199,350
  6. Step 6: Final answer
    x = 953,876.60

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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.