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Finding the Third Proportional to 133,425.94 and 291,475.88

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Solution

The third proportional to 133,425.94 and 291,475.88 is: 636,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,425.94 : 291,475.88 = 291,475.88 : x
  2. Step 2: Convert to fraction form
    133,425.94/291,475.88 = 291,475.88/x
  3. Step 3: Cross multiply
    133,425.94x = 291,475.88 × 291,475.88
  4. Step 4: Simplify right side
    133,425.94x = 84,958,185,707.02
  5. Step 5: Solve for x
    x = 84,958,185,707.02/133,425.94
  6. Step 6: Final answer
    x = 636,744.15

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.