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Finding the Third Proportional to 180,847.50 and 392,830

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Solution

The third proportional to 180,847.50 and 392,830 is: 853,290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,847.50 : 392,830 = 392,830 : x
  2. Step 2: Convert to fraction form
    180,847.50/392,830 = 392,830/x
  3. Step 3: Cross multiply
    180,847.50x = 392,830 × 392,830
  4. Step 4: Simplify right side
    180,847.50x = 154,315,408,900
  5. Step 5: Solve for x
    x = 154,315,408,900/180,847.50
  6. Step 6: Final answer
    x = 853,290.25

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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.