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Finding the Third Proportional to 147,570 and 326,150

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Solution

The third proportional to 147,570 and 326,150 is: 720,836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,570 : 326,150 = 326,150 : x
  2. Step 2: Convert to fraction form
    147,570/326,150 = 326,150/x
  3. Step 3: Cross multiply
    147,570x = 326,150 × 326,150
  4. Step 4: Simplify right side
    147,570x = 106,373,822,500
  5. Step 5: Solve for x
    x = 106,373,822,500/147,570
  6. Step 6: Final answer
    x = 720,836.37

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.