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Finding the Third Proportional to 134,534.75 and 285,468.75

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Solution

The third proportional to 134,534.75 and 285,468.75 is: 605,735.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,534.75 : 285,468.75 = 285,468.75 : x
  2. Step 2: Convert to fraction form
    134,534.75/285,468.75 = 285,468.75/x
  3. Step 3: Cross multiply
    134,534.75x = 285,468.75 × 285,468.75
  4. Step 4: Simplify right side
    134,534.75x = 81,492,407,226.56
  5. Step 5: Solve for x
    x = 81,492,407,226.56/134,534.75
  6. Step 6: Final answer
    x = 605,735.00

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.