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Finding the Third Proportional to 148,567 and 320,236

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Solution

The third proportional to 148,567 and 320,236 is: 690,268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,567 : 320,236 = 320,236 : x
  2. Step 2: Convert to fraction form
    148,567/320,236 = 320,236/x
  3. Step 3: Cross multiply
    148,567x = 320,236 × 320,236
  4. Step 4: Simplify right side
    148,567x = 102,551,095,696
  5. Step 5: Solve for x
    x = 102,551,095,696/148,567
  6. Step 6: Final answer
    x = 690,268.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.