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Finding the Third Proportional to 146,280.94 and 314,383.78

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Solution

The third proportional to 146,280.94 and 314,383.78 is: 675,666.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,280.94 : 314,383.78 = 314,383.78 : x
  2. Step 2: Convert to fraction form
    146,280.94/314,383.78 = 314,383.78/x
  3. Step 3: Cross multiply
    146,280.94x = 314,383.78 × 314,383.78
  4. Step 4: Simplify right side
    146,280.94x = 98,837,161,913.05
  5. Step 5: Solve for x
    x = 98,837,161,913.05/146,280.94
  6. Step 6: Final answer
    x = 675,666.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.