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Finding the Third Proportional to 194,073 and 422,316

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Solution

The third proportional to 194,073 and 422,316 is: 918,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,073 : 422,316 = 422,316 : x
  2. Step 2: Convert to fraction form
    194,073/422,316 = 422,316/x
  3. Step 3: Cross multiply
    194,073x = 422,316 × 422,316
  4. Step 4: Simplify right side
    194,073x = 178,350,803,856
  5. Step 5: Solve for x
    x = 178,350,803,856/194,073
  6. Step 6: Final answer
    x = 918,988.24

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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.