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Finding the Third Proportional to 150,090 and 211,095

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Solution

The third proportional to 150,090 and 211,095 is: 296,895.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,090 : 211,095 = 211,095 : x
  2. Step 2: Convert to fraction form
    150,090/211,095 = 211,095/x
  3. Step 3: Cross multiply
    150,090x = 211,095 × 211,095
  4. Step 4: Simplify right side
    150,090x = 44,561,099,025
  5. Step 5: Solve for x
    x = 44,561,099,025/150,090
  6. Step 6: Final answer
    x = 296,895.86

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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.