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Finding the Third Proportional to 228,222.56 and 357,999.75

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Solution

The third proportional to 228,222.56 and 357,999.75 is: 561,573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,222.56 : 357,999.75 = 357,999.75 : x
  2. Step 2: Convert to fraction form
    228,222.56/357,999.75 = 357,999.75/x
  3. Step 3: Cross multiply
    228,222.56x = 357,999.75 × 357,999.75
  4. Step 4: Simplify right side
    228,222.56x = 128,163,821,000.06
  5. Step 5: Solve for x
    x = 128,163,821,000.06/228,222.56
  6. Step 6: Final answer
    x = 561,573.84

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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.