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Finding the Third Proportional to 147,514.50 and 227,788

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Solution

The third proportional to 147,514.50 and 227,788 is: 351,744.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,514.50 : 227,788 = 227,788 : x
  2. Step 2: Convert to fraction form
    147,514.50/227,788 = 227,788/x
  3. Step 3: Cross multiply
    147,514.50x = 227,788 × 227,788
  4. Step 4: Simplify right side
    147,514.50x = 51,887,372,944
  5. Step 5: Solve for x
    x = 51,887,372,944/147,514.50
  6. Step 6: Final answer
    x = 351,744.22

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