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Finding the Third Proportional to 227,200.50 and 352,776

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Solution

The third proportional to 227,200.50 and 352,776 is: 547,758.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,200.50 : 352,776 = 352,776 : x
  2. Step 2: Convert to fraction form
    227,200.50/352,776 = 352,776/x
  3. Step 3: Cross multiply
    227,200.50x = 352,776 × 352,776
  4. Step 4: Simplify right side
    227,200.50x = 124,450,906,176
  5. Step 5: Solve for x
    x = 124,450,906,176/227,200.50
  6. Step 6: Final answer
    x = 547,758.06

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