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Finding the Third Proportional to 147,485.25 and 346,680

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Solution

The third proportional to 147,485.25 and 346,680 is: 814,908.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,485.25 : 346,680 = 346,680 : x
  2. Step 2: Convert to fraction form
    147,485.25/346,680 = 346,680/x
  3. Step 3: Cross multiply
    147,485.25x = 346,680 × 346,680
  4. Step 4: Simplify right side
    147,485.25x = 120,187,022,400
  5. Step 5: Solve for x
    x = 120,187,022,400/147,485.25
  6. Step 6: Final answer
    x = 814,908.76

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.