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Finding the Third Proportional to 228,055.50 and 485,635.50

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Solution

The third proportional to 228,055.50 and 485,635.50 is: 1,034,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,055.50 : 485,635.50 = 485,635.50 : x
  2. Step 2: Convert to fraction form
    228,055.50/485,635.50 = 485,635.50/x
  3. Step 3: Cross multiply
    228,055.50x = 485,635.50 × 485,635.50
  4. Step 4: Simplify right side
    228,055.50x = 235,841,838,860.25
  5. Step 5: Solve for x
    x = 235,841,838,860.25/228,055.50
  6. Step 6: Final answer
    x = 1,034,142.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.