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Finding the Third Proportional to 147,515 and 227,788

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Solution

The third proportional to 147,515 and 227,788 is: 351,743.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,515 : 227,788 = 227,788 : x
  2. Step 2: Convert to fraction form
    147,515/227,788 = 227,788/x
  3. Step 3: Cross multiply
    147,515x = 227,788 × 227,788
  4. Step 4: Simplify right side
    147,515x = 51,887,372,944
  5. Step 5: Solve for x
    x = 51,887,372,944/147,515
  6. Step 6: Final answer
    x = 351,743.03

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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.