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Finding the Third Proportional to 150,004 and 326,312

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Solution

The third proportional to 150,004 and 326,312 is: 709,844.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,004 : 326,312 = 326,312 : x
  2. Step 2: Convert to fraction form
    150,004/326,312 = 326,312/x
  3. Step 3: Cross multiply
    150,004x = 326,312 × 326,312
  4. Step 4: Simplify right side
    150,004x = 106,479,521,344
  5. Step 5: Solve for x
    x = 106,479,521,344/150,004
  6. Step 6: Final answer
    x = 709,844.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.