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Finding the Third Proportional to 133,180.88 and 292,605.75

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Solution

The third proportional to 133,180.88 and 292,605.75 is: 642,871.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,180.88 : 292,605.75 = 292,605.75 : x
  2. Step 2: Convert to fraction form
    133,180.88/292,605.75 = 292,605.75/x
  3. Step 3: Cross multiply
    133,180.88x = 292,605.75 × 292,605.75
  4. Step 4: Simplify right side
    133,180.88x = 85,618,124,933.06
  5. Step 5: Solve for x
    x = 85,618,124,933.06/133,180.88
  6. Step 6: Final answer
    x = 642,871.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.