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Finding the Third Proportional to 199,487 and 305,195.50

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Solution

The third proportional to 199,487 and 305,195.50 is: 466,919.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,487 : 305,195.50 = 305,195.50 : x
  2. Step 2: Convert to fraction form
    199,487/305,195.50 = 305,195.50/x
  3. Step 3: Cross multiply
    199,487x = 305,195.50 × 305,195.50
  4. Step 4: Simplify right side
    199,487x = 93,144,293,220.25
  5. Step 5: Solve for x
    x = 93,144,293,220.25/199,487
  6. Step 6: Final answer
    x = 466,919.11

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.