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Finding the Third Proportional to 201,868.88 and 434,841.75

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Solution

The third proportional to 201,868.88 and 434,841.75 is: 936,684.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,868.88 : 434,841.75 = 434,841.75 : x
  2. Step 2: Convert to fraction form
    201,868.88/434,841.75 = 434,841.75/x
  3. Step 3: Cross multiply
    201,868.88x = 434,841.75 × 434,841.75
  4. Step 4: Simplify right side
    201,868.88x = 189,087,347,543.06
  5. Step 5: Solve for x
    x = 189,087,347,543.06/201,868.88
  6. Step 6: Final answer
    x = 936,684.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.