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Finding the Third Proportional to 194,744 and 308,109

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Solution

The third proportional to 194,744 and 308,109 is: 487,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,744 : 308,109 = 308,109 : x
  2. Step 2: Convert to fraction form
    194,744/308,109 = 308,109/x
  3. Step 3: Cross multiply
    194,744x = 308,109 × 308,109
  4. Step 4: Simplify right side
    194,744x = 94,931,155,881
  5. Step 5: Solve for x
    x = 94,931,155,881/194,744
  6. Step 6: Final answer
    x = 487,466.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.