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Finding the Third Proportional to 148,036 and 325,595

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Solution

The third proportional to 148,036 and 325,595 is: 716,123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,036 : 325,595 = 325,595 : x
  2. Step 2: Convert to fraction form
    148,036/325,595 = 325,595/x
  3. Step 3: Cross multiply
    148,036x = 325,595 × 325,595
  4. Step 4: Simplify right side
    148,036x = 106,012,104,025
  5. Step 5: Solve for x
    x = 106,012,104,025/148,036
  6. Step 6: Final answer
    x = 716,123.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.