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Finding the Third Proportional to 199,107 and 308,290.50

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Solution

The third proportional to 199,107 and 308,290.50 is: 477,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,107 : 308,290.50 = 308,290.50 : x
  2. Step 2: Convert to fraction form
    199,107/308,290.50 = 308,290.50/x
  3. Step 3: Cross multiply
    199,107x = 308,290.50 × 308,290.50
  4. Step 4: Simplify right side
    199,107x = 95,043,032,390.25
  5. Step 5: Solve for x
    x = 95,043,032,390.25/199,107
  6. Step 6: Final answer
    x = 477,346.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.