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Finding the Third Proportional to 137,932.88 and 210,908.81

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Solution

The third proportional to 137,932.88 and 210,908.81 is: 322,494.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,932.88 : 210,908.81 = 210,908.81 : x
  2. Step 2: Convert to fraction form
    137,932.88/210,908.81 = 210,908.81/x
  3. Step 3: Cross multiply
    137,932.88x = 210,908.81 × 210,908.81
  4. Step 4: Simplify right side
    137,932.88x = 44,482,527,190.16
  5. Step 5: Solve for x
    x = 44,482,527,190.16/137,932.88
  6. Step 6: Final answer
    x = 322,494.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.