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Finding the Third Proportional to 146,340 and 319,205.25

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Solution

The third proportional to 146,340 and 319,205.25 is: 696,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,340 : 319,205.25 = 319,205.25 : x
  2. Step 2: Convert to fraction form
    146,340/319,205.25 = 319,205.25/x
  3. Step 3: Cross multiply
    146,340x = 319,205.25 × 319,205.25
  4. Step 4: Simplify right side
    146,340x = 101,891,991,627.56
  5. Step 5: Solve for x
    x = 101,891,991,627.56/146,340
  6. Step 6: Final answer
    x = 696,268.91

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Why These Related Problems?

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