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Finding the Third Proportional to 228,118.50 and 340,309.50

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Solution

The third proportional to 228,118.50 and 340,309.50 is: 507,677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,118.50 : 340,309.50 = 340,309.50 : x
  2. Step 2: Convert to fraction form
    228,118.50/340,309.50 = 340,309.50/x
  3. Step 3: Cross multiply
    228,118.50x = 340,309.50 × 340,309.50
  4. Step 4: Simplify right side
    228,118.50x = 115,810,555,790.25
  5. Step 5: Solve for x
    x = 115,810,555,790.25/228,118.50
  6. Step 6: Final answer
    x = 507,677.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.