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Finding the Third Proportional to 128,628 and 197,828

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Solution

The third proportional to 128,628 and 197,828 is: 304,256.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,628 : 197,828 = 197,828 : x
  2. Step 2: Convert to fraction form
    128,628/197,828 = 197,828/x
  3. Step 3: Cross multiply
    128,628x = 197,828 × 197,828
  4. Step 4: Simplify right side
    128,628x = 39,135,917,584
  5. Step 5: Solve for x
    x = 39,135,917,584/128,628
  6. Step 6: Final answer
    x = 304,256.60

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.