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Finding the Third Proportional to 154,219 and 233,281

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Solution

The third proportional to 154,219 and 233,281 is: 352,874.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,219 : 233,281 = 233,281 : x
  2. Step 2: Convert to fraction form
    154,219/233,281 = 233,281/x
  3. Step 3: Cross multiply
    154,219x = 233,281 × 233,281
  4. Step 4: Simplify right side
    154,219x = 54,420,024,961
  5. Step 5: Solve for x
    x = 54,420,024,961/154,219
  6. Step 6: Final answer
    x = 352,874.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.