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Finding the Third Proportional to 154,532.81 and 331,244.44

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Solution

The third proportional to 154,532.81 and 331,244.44 is: 710,029.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,532.81 : 331,244.44 = 331,244.44 : x
  2. Step 2: Convert to fraction form
    154,532.81/331,244.44 = 331,244.44/x
  3. Step 3: Cross multiply
    154,532.81x = 331,244.44 × 331,244.44
  4. Step 4: Simplify right side
    154,532.81x = 109,722,877,374.69
  5. Step 5: Solve for x
    x = 109,722,877,374.69/154,532.81
  6. Step 6: Final answer
    x = 710,029.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.