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Finding the Third Proportional to 133,670.25 and 288,294.19

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Solution

The third proportional to 133,670.25 and 288,294.19 is: 621,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,670.25 : 288,294.19 = 288,294.19 : x
  2. Step 2: Convert to fraction form
    133,670.25/288,294.19 = 288,294.19/x
  3. Step 3: Cross multiply
    133,670.25x = 288,294.19 × 288,294.19
  4. Step 4: Simplify right side
    133,670.25x = 83,113,538,546.29
  5. Step 5: Solve for x
    x = 83,113,538,546.29/133,670.25
  6. Step 6: Final answer
    x = 621,780.38

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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.