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Finding the Third Proportional to 146,271.94 and 314,367.75

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Solution

The third proportional to 146,271.94 and 314,367.75 is: 675,639.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,271.94 : 314,367.75 = 314,367.75 : x
  2. Step 2: Convert to fraction form
    146,271.94/314,367.75 = 314,367.75/x
  3. Step 3: Cross multiply
    146,271.94x = 314,367.75 × 314,367.75
  4. Step 4: Simplify right side
    146,271.94x = 98,827,082,240.06
  5. Step 5: Solve for x
    x = 98,827,082,240.06/146,271.94
  6. Step 6: Final answer
    x = 675,639.39

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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.