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Finding the Third Proportional to 199,503 and 430,656.75

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Solution

The third proportional to 199,503 and 430,656.75 is: 929,636.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,503 : 430,656.75 = 430,656.75 : x
  2. Step 2: Convert to fraction form
    199,503/430,656.75 = 430,656.75/x
  3. Step 3: Cross multiply
    199,503x = 430,656.75 × 430,656.75
  4. Step 4: Simplify right side
    199,503x = 185,465,236,320.56
  5. Step 5: Solve for x
    x = 185,465,236,320.56/199,503
  6. Step 6: Final answer
    x = 929,636.33

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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.