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Finding the Third Proportional to 148,970 and 324,146

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Solution

The third proportional to 148,970 and 324,146 is: 705,314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,970 : 324,146 = 324,146 : x
  2. Step 2: Convert to fraction form
    148,970/324,146 = 324,146/x
  3. Step 3: Cross multiply
    148,970x = 324,146 × 324,146
  4. Step 4: Simplify right side
    148,970x = 105,070,629,316
  5. Step 5: Solve for x
    x = 105,070,629,316/148,970
  6. Step 6: Final answer
    x = 705,314.02

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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.