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Finding the Third Proportional to 150,986 and 326,560

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Solution

The third proportional to 150,986 and 326,560 is: 706,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,986 : 326,560 = 326,560 : x
  2. Step 2: Convert to fraction form
    150,986/326,560 = 326,560/x
  3. Step 3: Cross multiply
    150,986x = 326,560 × 326,560
  4. Step 4: Simplify right side
    150,986x = 106,641,433,600
  5. Step 5: Solve for x
    x = 106,641,433,600/150,986
  6. Step 6: Final answer
    x = 706,300.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.