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Finding the Third Proportional to 227,304 and 356,575.50

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Solution

The third proportional to 227,304 and 356,575.50 is: 559,365.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,304 : 356,575.50 = 356,575.50 : x
  2. Step 2: Convert to fraction form
    227,304/356,575.50 = 356,575.50/x
  3. Step 3: Cross multiply
    227,304x = 356,575.50 × 356,575.50
  4. Step 4: Simplify right side
    227,304x = 127,146,087,200.25
  5. Step 5: Solve for x
    x = 127,146,087,200.25/227,304
  6. Step 6: Final answer
    x = 559,365.81

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Why These Related Problems?

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