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Finding the Third Proportional to 146,345 and 218,893.50

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Solution

The third proportional to 146,345 and 218,893.50 is: 327,406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,345 : 218,893.50 = 218,893.50 : x
  2. Step 2: Convert to fraction form
    146,345/218,893.50 = 218,893.50/x
  3. Step 3: Cross multiply
    146,345x = 218,893.50 × 218,893.50
  4. Step 4: Simplify right side
    146,345x = 47,914,364,342.25
  5. Step 5: Solve for x
    x = 47,914,364,342.25/146,345
  6. Step 6: Final answer
    x = 327,406.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.