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Finding the Third Proportional to 180,723 and 392,604.50

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Solution

The third proportional to 180,723 and 392,604.50 is: 852,898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,723 : 392,604.50 = 392,604.50 : x
  2. Step 2: Convert to fraction form
    180,723/392,604.50 = 392,604.50/x
  3. Step 3: Cross multiply
    180,723x = 392,604.50 × 392,604.50
  4. Step 4: Simplify right side
    180,723x = 154,138,293,420.25
  5. Step 5: Solve for x
    x = 154,138,293,420.25/180,723
  6. Step 6: Final answer
    x = 852,898.05

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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.