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Finding the Third Proportional to 227,341.50 and 356,647.50

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Solution

The third proportional to 227,341.50 and 356,647.50 is: 559,499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,341.50 : 356,647.50 = 356,647.50 : x
  2. Step 2: Convert to fraction form
    227,341.50/356,647.50 = 356,647.50/x
  3. Step 3: Cross multiply
    227,341.50x = 356,647.50 × 356,647.50
  4. Step 4: Simplify right side
    227,341.50x = 127,197,439,256.25
  5. Step 5: Solve for x
    x = 127,197,439,256.25/227,341.50
  6. Step 6: Final answer
    x = 559,499.43

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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.