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Finding the Third Proportional to 133,168.50 and 285,291

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Solution

The third proportional to 133,168.50 and 285,291 is: 611,187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,168.50 : 285,291 = 285,291 : x
  2. Step 2: Convert to fraction form
    133,168.50/285,291 = 285,291/x
  3. Step 3: Cross multiply
    133,168.50x = 285,291 × 285,291
  4. Step 4: Simplify right side
    133,168.50x = 81,390,954,681
  5. Step 5: Solve for x
    x = 81,390,954,681/133,168.50
  6. Step 6: Final answer
    x = 611,187.74

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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.