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Finding the Third Proportional to 192,425.63 and 298,677.38

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Solution

The third proportional to 192,425.63 and 298,677.38 is: 463,598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,425.63 : 298,677.38 = 298,677.38 : x
  2. Step 2: Convert to fraction form
    192,425.63/298,677.38 = 298,677.38/x
  3. Step 3: Cross multiply
    192,425.63x = 298,677.38 × 298,677.38
  4. Step 4: Simplify right side
    192,425.63x = 89,208,174,336.89
  5. Step 5: Solve for x
    x = 89,208,174,336.89/192,425.63
  6. Step 6: Final answer
    x = 463,598.20

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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.