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Finding the Third Proportional to 194,110 and 427,316

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Solution

The third proportional to 194,110 and 427,316 is: 940,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,110 : 427,316 = 427,316 : x
  2. Step 2: Convert to fraction form
    194,110/427,316 = 427,316/x
  3. Step 3: Cross multiply
    194,110x = 427,316 × 427,316
  4. Step 4: Simplify right side
    194,110x = 182,598,963,856
  5. Step 5: Solve for x
    x = 182,598,963,856/194,110
  6. Step 6: Final answer
    x = 940,698.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.