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Finding the Third Proportional to 146,283 and 218,467.50

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Solution

The third proportional to 146,283 and 218,467.50 is: 326,272.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,283 : 218,467.50 = 218,467.50 : x
  2. Step 2: Convert to fraction form
    146,283/218,467.50 = 218,467.50/x
  3. Step 3: Cross multiply
    146,283x = 218,467.50 × 218,467.50
  4. Step 4: Simplify right side
    146,283x = 47,728,048,556.25
  5. Step 5: Solve for x
    x = 47,728,048,556.25/146,283
  6. Step 6: Final answer
    x = 326,272.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.