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Finding the Third Proportional to 150,345 and 326,922

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Solution

The third proportional to 150,345 and 326,922 is: 710,884.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,345 : 326,922 = 326,922 : x
  2. Step 2: Convert to fraction form
    150,345/326,922 = 326,922/x
  3. Step 3: Cross multiply
    150,345x = 326,922 × 326,922
  4. Step 4: Simplify right side
    150,345x = 106,877,994,084
  5. Step 5: Solve for x
    x = 106,877,994,084/150,345
  6. Step 6: Final answer
    x = 710,884.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.