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Finding the Third Proportional to 182,313.28 and 275,984.72

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Solution

The third proportional to 182,313.28 and 275,984.72 is: 417,783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,313.28 : 275,984.72 = 275,984.72 : x
  2. Step 2: Convert to fraction form
    182,313.28/275,984.72 = 275,984.72/x
  3. Step 3: Cross multiply
    182,313.28x = 275,984.72 × 275,984.72
  4. Step 4: Simplify right side
    182,313.28x = 76,167,564,983.52
  5. Step 5: Solve for x
    x = 76,167,564,983.52/182,313.28
  6. Step 6: Final answer
    x = 417,783.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.