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Finding the Third Proportional to 194,430 and 304,605

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Solution

The third proportional to 194,430 and 304,605 is: 477,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,430 : 304,605 = 304,605 : x
  2. Step 2: Convert to fraction form
    194,430/304,605 = 304,605/x
  3. Step 3: Cross multiply
    194,430x = 304,605 × 304,605
  4. Step 4: Simplify right side
    194,430x = 92,784,206,025
  5. Step 5: Solve for x
    x = 92,784,206,025/194,430
  6. Step 6: Final answer
    x = 477,211.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.