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Finding the Third Proportional to 148,974 and 324,154

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Solution

The third proportional to 148,974 and 324,154 is: 705,329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,974 : 324,154 = 324,154 : x
  2. Step 2: Convert to fraction form
    148,974/324,154 = 324,154/x
  3. Step 3: Cross multiply
    148,974x = 324,154 × 324,154
  4. Step 4: Simplify right side
    148,974x = 105,075,815,716
  5. Step 5: Solve for x
    x = 105,075,815,716/148,974
  6. Step 6: Final answer
    x = 705,329.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.