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Finding the Third Proportional to 148,244 and 326,009

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Solution

The third proportional to 148,244 and 326,009 is: 716,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,244 : 326,009 = 326,009 : x
  2. Step 2: Convert to fraction form
    148,244/326,009 = 326,009/x
  3. Step 3: Cross multiply
    148,244x = 326,009 × 326,009
  4. Step 4: Simplify right side
    148,244x = 106,281,868,081
  5. Step 5: Solve for x
    x = 106,281,868,081/148,244
  6. Step 6: Final answer
    x = 716,938.75

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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.