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Finding the Third Proportional to 180,184.50 and 228,055.50

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Solution

The third proportional to 180,184.50 and 228,055.50 is: 288,644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,184.50 : 228,055.50 = 228,055.50 : x
  2. Step 2: Convert to fraction form
    180,184.50/228,055.50 = 228,055.50/x
  3. Step 3: Cross multiply
    180,184.50x = 228,055.50 × 228,055.50
  4. Step 4: Simplify right side
    180,184.50x = 52,009,311,080.25
  5. Step 5: Solve for x
    x = 52,009,311,080.25/180,184.50
  6. Step 6: Final answer
    x = 288,644.76

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.