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Finding the Third Proportional to 176,512 and 384,128

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Solution

The third proportional to 176,512 and 384,128 is: 835,944.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,512 : 384,128 = 384,128 : x
  2. Step 2: Convert to fraction form
    176,512/384,128 = 384,128/x
  3. Step 3: Cross multiply
    176,512x = 384,128 × 384,128
  4. Step 4: Simplify right side
    176,512x = 147,554,320,384
  5. Step 5: Solve for x
    x = 147,554,320,384/176,512
  6. Step 6: Final answer
    x = 835,944.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.