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Finding the Third Proportional to 154,152 and 231,228

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Solution

The third proportional to 154,152 and 231,228 is: 346,842

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,152 : 231,228 = 231,228 : x
  2. Step 2: Convert to fraction form
    154,152/231,228 = 231,228/x
  3. Step 3: Cross multiply
    154,152x = 231,228 × 231,228
  4. Step 4: Simplify right side
    154,152x = 53,466,387,984
  5. Step 5: Solve for x
    x = 53,466,387,984/154,152
  6. Step 6: Final answer
    x = 346,842

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.