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Finding the Third Proportional to 154,188 and 336,316

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Solution

The third proportional to 154,188 and 336,316 is: 733,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,188 : 336,316 = 336,316 : x
  2. Step 2: Convert to fraction form
    154,188/336,316 = 336,316/x
  3. Step 3: Cross multiply
    154,188x = 336,316 × 336,316
  4. Step 4: Simplify right side
    154,188x = 113,108,451,856
  5. Step 5: Solve for x
    x = 113,108,451,856/154,188
  6. Step 6: Final answer
    x = 733,574.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.