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Finding the Third Proportional to 201,295.13 and 434,116.13

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Solution

The third proportional to 201,295.13 and 434,116.13 is: 936,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,295.13 : 434,116.13 = 434,116.13 : x
  2. Step 2: Convert to fraction form
    201,295.13/434,116.13 = 434,116.13/x
  3. Step 3: Cross multiply
    201,295.13x = 434,116.13 × 434,116.13
  4. Step 4: Simplify right side
    201,295.13x = 188,456,809,985.02
  5. Step 5: Solve for x
    x = 188,456,809,985.02/201,295.13
  6. Step 6: Final answer
    x = 936,221.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.