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Finding the Third Proportional to 164,284 and 364,231

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Solution

The third proportional to 164,284 and 364,231 is: 807,529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,284 : 364,231 = 364,231 : x
  2. Step 2: Convert to fraction form
    164,284/364,231 = 364,231/x
  3. Step 3: Cross multiply
    164,284x = 364,231 × 364,231
  4. Step 4: Simplify right side
    164,284x = 132,664,221,361
  5. Step 5: Solve for x
    x = 132,664,221,361/164,284
  6. Step 6: Final answer
    x = 807,529.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.