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Finding the Third Proportional to 180,735.50 and 392,583.75

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Solution

The third proportional to 180,735.50 and 392,583.75 is: 852,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,735.50 : 392,583.75 = 392,583.75 : x
  2. Step 2: Convert to fraction form
    180,735.50/392,583.75 = 392,583.75/x
  3. Step 3: Cross multiply
    180,735.50x = 392,583.75 × 392,583.75
  4. Step 4: Simplify right side
    180,735.50x = 154,122,000,764.06
  5. Step 5: Solve for x
    x = 154,122,000,764.06/180,735.50
  6. Step 6: Final answer
    x = 852,748.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.