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Finding the Third Proportional to 140,981.77 and 218,151.35

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Solution

The third proportional to 140,981.77 and 218,151.35 is: 337,561.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,981.77 : 218,151.35 = 218,151.35 : x
  2. Step 2: Convert to fraction form
    140,981.77/218,151.35 = 218,151.35/x
  3. Step 3: Cross multiply
    140,981.77x = 218,151.35 × 218,151.35
  4. Step 4: Simplify right side
    140,981.77x = 47,590,012,188.55
  5. Step 5: Solve for x
    x = 47,590,012,188.55/140,981.77
  6. Step 6: Final answer
    x = 337,561.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.