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Finding the Third Proportional to 227,212.50 and 351,804

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Solution

The third proportional to 227,212.50 and 351,804 is: 544,714.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,212.50 : 351,804 = 351,804 : x
  2. Step 2: Convert to fraction form
    227,212.50/351,804 = 351,804/x
  3. Step 3: Cross multiply
    227,212.50x = 351,804 × 351,804
  4. Step 4: Simplify right side
    227,212.50x = 123,766,054,416
  5. Step 5: Solve for x
    x = 123,766,054,416/227,212.50
  6. Step 6: Final answer
    x = 544,714.99

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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.