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Finding the Third Proportional to 133,967.25 and 286,351.88

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Solution

The third proportional to 133,967.25 and 286,351.88 is: 612,070.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,967.25 : 286,351.88 = 286,351.88 : x
  2. Step 2: Convert to fraction form
    133,967.25/286,351.88 = 286,351.88/x
  3. Step 3: Cross multiply
    133,967.25x = 286,351.88 × 286,351.88
  4. Step 4: Simplify right side
    133,967.25x = 81,997,396,316.02
  5. Step 5: Solve for x
    x = 81,997,396,316.02/133,967.25
  6. Step 6: Final answer
    x = 612,070.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.