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Finding the Third Proportional to 150,148 and 326,252

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Solution

The third proportional to 150,148 and 326,252 is: 708,903.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,148 : 326,252 = 326,252 : x
  2. Step 2: Convert to fraction form
    150,148/326,252 = 326,252/x
  3. Step 3: Cross multiply
    150,148x = 326,252 × 326,252
  4. Step 4: Simplify right side
    150,148x = 106,440,367,504
  5. Step 5: Solve for x
    x = 106,440,367,504/150,148
  6. Step 6: Final answer
    x = 708,903.00

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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.