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Finding the Third Proportional to 227,488.50 and 356,830

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Solution

The third proportional to 227,488.50 and 356,830 is: 559,710.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,488.50 : 356,830 = 356,830 : x
  2. Step 2: Convert to fraction form
    227,488.50/356,830 = 356,830/x
  3. Step 3: Cross multiply
    227,488.50x = 356,830 × 356,830
  4. Step 4: Simplify right side
    227,488.50x = 127,327,648,900
  5. Step 5: Solve for x
    x = 127,327,648,900/227,488.50
  6. Step 6: Final answer
    x = 559,710.27

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.