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Finding the Third Proportional to 154,583 and 335,604

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Solution

The third proportional to 154,583 and 335,604 is: 728,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,583 : 335,604 = 335,604 : x
  2. Step 2: Convert to fraction form
    154,583/335,604 = 335,604/x
  3. Step 3: Cross multiply
    154,583x = 335,604 × 335,604
  4. Step 4: Simplify right side
    154,583x = 112,630,044,816
  5. Step 5: Solve for x
    x = 112,630,044,816/154,583
  6. Step 6: Final answer
    x = 728,605.63

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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.