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Finding the Third Proportional to 148,284 and 326,087

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Solution

The third proportional to 148,284 and 326,087 is: 717,088.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,284 : 326,087 = 326,087 : x
  2. Step 2: Convert to fraction form
    148,284/326,087 = 326,087/x
  3. Step 3: Cross multiply
    148,284x = 326,087 × 326,087
  4. Step 4: Simplify right side
    148,284x = 106,332,731,569
  5. Step 5: Solve for x
    x = 106,332,731,569/148,284
  6. Step 6: Final answer
    x = 717,088.37

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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.