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Finding the Third Proportional to 192,423 and 301,852

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Solution

The third proportional to 192,423 and 301,852 is: 473,512.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,423 : 301,852 = 301,852 : x
  2. Step 2: Convert to fraction form
    192,423/301,852 = 301,852/x
  3. Step 3: Cross multiply
    192,423x = 301,852 × 301,852
  4. Step 4: Simplify right side
    192,423x = 91,114,629,904
  5. Step 5: Solve for x
    x = 91,114,629,904/192,423
  6. Step 6: Final answer
    x = 473,512.16

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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.