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Finding the Third Proportional to 201,158.44 and 434,985.19

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Solution

The third proportional to 201,158.44 and 434,985.19 is: 940,612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,158.44 : 434,985.19 = 434,985.19 : x
  2. Step 2: Convert to fraction form
    201,158.44/434,985.19 = 434,985.19/x
  3. Step 3: Cross multiply
    201,158.44x = 434,985.19 × 434,985.19
  4. Step 4: Simplify right side
    201,158.44x = 189,212,113,344.41
  5. Step 5: Solve for x
    x = 189,212,113,344.41/201,158.44
  6. Step 6: Final answer
    x = 940,612.36

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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.