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Finding the Third Proportional to 150,095 and 211,102

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Solution

The third proportional to 150,095 and 211,102 is: 296,905.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,095 : 211,102 = 211,102 : x
  2. Step 2: Convert to fraction form
    150,095/211,102 = 211,102/x
  3. Step 3: Cross multiply
    150,095x = 211,102 × 211,102
  4. Step 4: Simplify right side
    150,095x = 44,564,054,404
  5. Step 5: Solve for x
    x = 44,564,054,404/150,095
  6. Step 6: Final answer
    x = 296,905.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.