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Finding the Third Proportional to 227,193.75 and 352,783.13

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Solution

The third proportional to 227,193.75 and 352,783.13 is: 547,796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,193.75 : 352,783.13 = 352,783.13 : x
  2. Step 2: Convert to fraction form
    227,193.75/352,783.13 = 352,783.13/x
  3. Step 3: Cross multiply
    227,193.75x = 352,783.13 × 352,783.13
  4. Step 4: Simplify right side
    227,193.75x = 124,455,933,284.77
  5. Step 5: Solve for x
    x = 124,455,933,284.77/227,193.75
  6. Step 6: Final answer
    x = 547,796.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.