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Finding the Third Proportional to 148,246 and 326,013

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Solution

The third proportional to 148,246 and 326,013 is: 716,946.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,246 : 326,013 = 326,013 : x
  2. Step 2: Convert to fraction form
    148,246/326,013 = 326,013/x
  3. Step 3: Cross multiply
    148,246x = 326,013 × 326,013
  4. Step 4: Simplify right side
    148,246x = 106,284,476,169
  5. Step 5: Solve for x
    x = 106,284,476,169/148,246
  6. Step 6: Final answer
    x = 716,946.67

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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.