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Finding the Third Proportional to 234,150.75 and 503,809.88

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Solution

The third proportional to 234,150.75 and 503,809.88 is: 1,084,021.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,150.75 : 503,809.88 = 503,809.88 : x
  2. Step 2: Convert to fraction form
    234,150.75/503,809.88 = 503,809.88/x
  3. Step 3: Cross multiply
    234,150.75x = 503,809.88 × 503,809.88
  4. Step 4: Simplify right side
    234,150.75x = 253,824,390,147.52
  5. Step 5: Solve for x
    x = 253,824,390,147.52/234,150.75
  6. Step 6: Final answer
    x = 1,084,021.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.