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Finding the Third Proportional to 148,526 and 197,982

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Solution

The third proportional to 148,526 and 197,982 is: 263,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,526 : 197,982 = 197,982 : x
  2. Step 2: Convert to fraction form
    148,526/197,982 = 197,982/x
  3. Step 3: Cross multiply
    148,526x = 197,982 × 197,982
  4. Step 4: Simplify right side
    148,526x = 39,196,872,324
  5. Step 5: Solve for x
    x = 39,196,872,324/148,526
  6. Step 6: Final answer
    x = 263,905.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.