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Finding the Third Proportional to 148,097 and 223,455

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Solution

The third proportional to 148,097 and 223,455 is: 337,158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,097 : 223,455 = 223,455 : x
  2. Step 2: Convert to fraction form
    148,097/223,455 = 223,455/x
  3. Step 3: Cross multiply
    148,097x = 223,455 × 223,455
  4. Step 4: Simplify right side
    148,097x = 49,932,137,025
  5. Step 5: Solve for x
    x = 49,932,137,025/148,097
  6. Step 6: Final answer
    x = 337,158.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.