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Finding the Third Proportional to 177,284 and 384,106

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Solution

The third proportional to 177,284 and 384,106 is: 832,209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,284 : 384,106 = 384,106 : x
  2. Step 2: Convert to fraction form
    177,284/384,106 = 384,106/x
  3. Step 3: Cross multiply
    177,284x = 384,106 × 384,106
  4. Step 4: Simplify right side
    177,284x = 147,537,419,236
  5. Step 5: Solve for x
    x = 147,537,419,236/177,284
  6. Step 6: Final answer
    x = 832,209.44

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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.