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Finding the Third Proportional to 150,855 and 314,223

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Solution

The third proportional to 150,855 and 314,223 is: 654,509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,855 : 314,223 = 314,223 : x
  2. Step 2: Convert to fraction form
    150,855/314,223 = 314,223/x
  3. Step 3: Cross multiply
    150,855x = 314,223 × 314,223
  4. Step 4: Simplify right side
    150,855x = 98,736,093,729
  5. Step 5: Solve for x
    x = 98,736,093,729/150,855
  6. Step 6: Final answer
    x = 654,509.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.