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Finding the Third Proportional to 154,382 and 231,947

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Solution

The third proportional to 154,382 and 231,947 is: 348,482.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,382 : 231,947 = 231,947 : x
  2. Step 2: Convert to fraction form
    154,382/231,947 = 231,947/x
  3. Step 3: Cross multiply
    154,382x = 231,947 × 231,947
  4. Step 4: Simplify right side
    154,382x = 53,799,410,809
  5. Step 5: Solve for x
    x = 53,799,410,809/154,382
  6. Step 6: Final answer
    x = 348,482.41

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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.