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Finding the Third Proportional to 199,792 and 309,336

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Solution

The third proportional to 199,792 and 309,336 is: 478,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,792 : 309,336 = 309,336 : x
  2. Step 2: Convert to fraction form
    199,792/309,336 = 309,336/x
  3. Step 3: Cross multiply
    199,792x = 309,336 × 309,336
  4. Step 4: Simplify right side
    199,792x = 95,688,760,896
  5. Step 5: Solve for x
    x = 95,688,760,896/199,792
  6. Step 6: Final answer
    x = 478,941.90

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