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Finding the Third Proportional to 194,336 and 424,670

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Solution

The third proportional to 194,336 and 424,670 is: 928,004.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,336 : 424,670 = 424,670 : x
  2. Step 2: Convert to fraction form
    194,336/424,670 = 424,670/x
  3. Step 3: Cross multiply
    194,336x = 424,670 × 424,670
  4. Step 4: Simplify right side
    194,336x = 180,344,608,900
  5. Step 5: Solve for x
    x = 180,344,608,900/194,336
  6. Step 6: Final answer
    x = 928,004.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.