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Finding the Third Proportional to 135,850.50 and 211,970.25

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Solution

The third proportional to 135,850.50 and 211,970.25 is: 330,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,850.50 : 211,970.25 = 211,970.25 : x
  2. Step 2: Convert to fraction form
    135,850.50/211,970.25 = 211,970.25/x
  3. Step 3: Cross multiply
    135,850.50x = 211,970.25 × 211,970.25
  4. Step 4: Simplify right side
    135,850.50x = 44,931,386,885.06
  5. Step 5: Solve for x
    x = 44,931,386,885.06/135,850.50
  6. Step 6: Final answer
    x = 330,741.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.