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Finding the Third Proportional to 137,850.19 and 210,830.06

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Solution

The third proportional to 137,850.19 and 210,830.06 is: 322,446.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,850.19 : 210,830.06 = 210,830.06 : x
  2. Step 2: Convert to fraction form
    137,850.19/210,830.06 = 210,830.06/x
  3. Step 3: Cross multiply
    137,850.19x = 210,830.06 × 210,830.06
  4. Step 4: Simplify right side
    137,850.19x = 44,449,315,253.75
  5. Step 5: Solve for x
    x = 44,449,315,253.75/137,850.19
  6. Step 6: Final answer
    x = 322,446.53

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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.