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Finding the Third Proportional to 194,164.88 and 417,148.88

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Solution

The third proportional to 194,164.88 and 417,148.88 is: 896,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,164.88 : 417,148.88 = 417,148.88 : x
  2. Step 2: Convert to fraction form
    194,164.88/417,148.88 = 417,148.88/x
  3. Step 3: Cross multiply
    194,164.88x = 417,148.88 × 417,148.88
  4. Step 4: Simplify right side
    194,164.88x = 174,013,183,913.77
  5. Step 5: Solve for x
    x = 174,013,183,913.77/194,164.88
  6. Step 6: Final answer
    x = 896,213.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.