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Finding the Third Proportional to 147,176 and 320,128

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Solution

The third proportional to 147,176 and 320,128 is: 696,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,176 : 320,128 = 320,128 : x
  2. Step 2: Convert to fraction form
    147,176/320,128 = 320,128/x
  3. Step 3: Cross multiply
    147,176x = 320,128 × 320,128
  4. Step 4: Simplify right side
    147,176x = 102,481,936,384
  5. Step 5: Solve for x
    x = 102,481,936,384/147,176
  6. Step 6: Final answer
    x = 696,322.34

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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.