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Finding the Third Proportional to 147,512.72 and 227,784.94

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Solution

The third proportional to 147,512.72 and 227,784.94 is: 351,739.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,512.72 : 227,784.94 = 227,784.94 : x
  2. Step 2: Convert to fraction form
    147,512.72/227,784.94 = 227,784.94/x
  3. Step 3: Cross multiply
    147,512.72x = 227,784.94 × 227,784.94
  4. Step 4: Simplify right side
    147,512.72x = 51,885,977,751.88
  5. Step 5: Solve for x
    x = 51,885,977,751.88/147,512.72
  6. Step 6: Final answer
    x = 351,739.01

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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.