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Finding the Third Proportional to 194,850 and 299,109

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Solution

The third proportional to 194,850 and 299,109 is: 459,154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,850 : 299,109 = 299,109 : x
  2. Step 2: Convert to fraction form
    194,850/299,109 = 299,109/x
  3. Step 3: Cross multiply
    194,850x = 299,109 × 299,109
  4. Step 4: Simplify right side
    194,850x = 89,466,193,881
  5. Step 5: Solve for x
    x = 89,466,193,881/194,850
  6. Step 6: Final answer
    x = 459,154.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.