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Finding the Third Proportional to 150,904 and 211,507

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Solution

The third proportional to 150,904 and 211,507 is: 296,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,904 : 211,507 = 211,507 : x
  2. Step 2: Convert to fraction form
    150,904/211,507 = 211,507/x
  3. Step 3: Cross multiply
    150,904x = 211,507 × 211,507
  4. Step 4: Simplify right side
    150,904x = 44,735,211,049
  5. Step 5: Solve for x
    x = 44,735,211,049/150,904
  6. Step 6: Final answer
    x = 296,448.15

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.