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Finding the Third Proportional to 201,507.75 and 314,517.94

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Solution

The third proportional to 201,507.75 and 314,517.94 is: 490,906.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,507.75 : 314,517.94 = 314,517.94 : x
  2. Step 2: Convert to fraction form
    201,507.75/314,517.94 = 314,517.94/x
  3. Step 3: Cross multiply
    201,507.75x = 314,517.94 × 314,517.94
  4. Step 4: Simplify right side
    201,507.75x = 98,921,533,009.25
  5. Step 5: Solve for x
    x = 98,921,533,009.25/201,507.75
  6. Step 6: Final answer
    x = 490,906.84

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.