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Finding the Third Proportional to 205,963.31 and 434,070

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Solution

The third proportional to 205,963.31 and 434,070 is: 914,807.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,963.31 : 434,070 = 434,070 : x
  2. Step 2: Convert to fraction form
    205,963.31/434,070 = 434,070/x
  3. Step 3: Cross multiply
    205,963.31x = 434,070 × 434,070
  4. Step 4: Simplify right side
    205,963.31x = 188,416,764,900
  5. Step 5: Solve for x
    x = 188,416,764,900/205,963.31
  6. Step 6: Final answer
    x = 914,807.41

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.