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Finding the Third Proportional to 199,633.50 and 308,370

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Solution

The third proportional to 199,633.50 and 308,370 is: 476,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,633.50 : 308,370 = 308,370 : x
  2. Step 2: Convert to fraction form
    199,633.50/308,370 = 308,370/x
  3. Step 3: Cross multiply
    199,633.50x = 308,370 × 308,370
  4. Step 4: Simplify right side
    199,633.50x = 95,092,056,900
  5. Step 5: Solve for x
    x = 95,092,056,900/199,633.50
  6. Step 6: Final answer
    x = 476,333.17

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.