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Finding the Third Proportional to 180,168.50 and 417,042.50

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Solution

The third proportional to 180,168.50 and 417,042.50 is: 965,343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,168.50 : 417,042.50 = 417,042.50 : x
  2. Step 2: Convert to fraction form
    180,168.50/417,042.50 = 417,042.50/x
  3. Step 3: Cross multiply
    180,168.50x = 417,042.50 × 417,042.50
  4. Step 4: Simplify right side
    180,168.50x = 173,924,446,806.25
  5. Step 5: Solve for x
    x = 173,924,446,806.25/180,168.50
  6. Step 6: Final answer
    x = 965,343.26

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.