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Finding the Third Proportional to 154,584 and 232,245

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Solution

The third proportional to 154,584 and 232,245 is: 348,921.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,584 : 232,245 = 232,245 : x
  2. Step 2: Convert to fraction form
    154,584/232,245 = 232,245/x
  3. Step 3: Cross multiply
    154,584x = 232,245 × 232,245
  4. Step 4: Simplify right side
    154,584x = 53,937,740,025
  5. Step 5: Solve for x
    x = 53,937,740,025/154,584
  6. Step 6: Final answer
    x = 348,921.88

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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.