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Finding the Third Proportional to 147,539.75 and 227,819.75

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Solution

The third proportional to 147,539.75 and 227,819.75 is: 351,782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,539.75 : 227,819.75 = 227,819.75 : x
  2. Step 2: Convert to fraction form
    147,539.75/227,819.75 = 227,819.75/x
  3. Step 3: Cross multiply
    147,539.75x = 227,819.75 × 227,819.75
  4. Step 4: Simplify right side
    147,539.75x = 51,901,838,490.06
  5. Step 5: Solve for x
    x = 51,901,838,490.06/147,539.75
  6. Step 6: Final answer
    x = 351,782.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.