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Finding the Third Proportional to 192,624 and 299,430

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Solution

The third proportional to 192,624 and 299,430 is: 465,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,624 : 299,430 = 299,430 : x
  2. Step 2: Convert to fraction form
    192,624/299,430 = 299,430/x
  3. Step 3: Cross multiply
    192,624x = 299,430 × 299,430
  4. Step 4: Simplify right side
    192,624x = 89,658,324,900
  5. Step 5: Solve for x
    x = 89,658,324,900/192,624
  6. Step 6: Final answer
    x = 465,457.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.