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Finding the Third Proportional to 154,996.88 and 316,544.63

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Solution

The third proportional to 154,996.88 and 316,544.63 is: 646,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,996.88 : 316,544.63 = 316,544.63 : x
  2. Step 2: Convert to fraction form
    154,996.88/316,544.63 = 316,544.63/x
  3. Step 3: Cross multiply
    154,996.88x = 316,544.63 × 316,544.63
  4. Step 4: Simplify right side
    154,996.88x = 100,200,499,616.39
  5. Step 5: Solve for x
    x = 100,200,499,616.39/154,996.88
  6. Step 6: Final answer
    x = 646,467.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.