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Finding the Third Proportional to 164,078 and 386,323

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Solution

The third proportional to 164,078 and 386,323 is: 909,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,078 : 386,323 = 386,323 : x
  2. Step 2: Convert to fraction form
    164,078/386,323 = 386,323/x
  3. Step 3: Cross multiply
    164,078x = 386,323 × 386,323
  4. Step 4: Simplify right side
    164,078x = 149,245,460,329
  5. Step 5: Solve for x
    x = 149,245,460,329/164,078
  6. Step 6: Final answer
    x = 909,600.68

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.