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Finding the Third Proportional to 148,156 and 325,851

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Solution

The third proportional to 148,156 and 325,851 is: 716,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,156 : 325,851 = 325,851 : x
  2. Step 2: Convert to fraction form
    148,156/325,851 = 325,851/x
  3. Step 3: Cross multiply
    148,156x = 325,851 × 325,851
  4. Step 4: Simplify right side
    148,156x = 106,178,874,201
  5. Step 5: Solve for x
    x = 106,178,874,201/148,156
  6. Step 6: Final answer
    x = 716,669.42

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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.