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Finding the Third Proportional to 133,707 and 211,630.50

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Solution

The third proportional to 133,707 and 211,630.50 is: 334,967.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,707 : 211,630.50 = 211,630.50 : x
  2. Step 2: Convert to fraction form
    133,707/211,630.50 = 211,630.50/x
  3. Step 3: Cross multiply
    133,707x = 211,630.50 × 211,630.50
  4. Step 4: Simplify right side
    133,707x = 44,787,468,530.25
  5. Step 5: Solve for x
    x = 44,787,468,530.25/133,707
  6. Step 6: Final answer
    x = 334,967.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.