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Finding the Third Proportional to 128,512 and 197,664

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Solution

The third proportional to 128,512 and 197,664 is: 304,026.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,512 : 197,664 = 197,664 : x
  2. Step 2: Convert to fraction form
    128,512/197,664 = 197,664/x
  3. Step 3: Cross multiply
    128,512x = 197,664 × 197,664
  4. Step 4: Simplify right side
    128,512x = 39,071,056,896
  5. Step 5: Solve for x
    x = 39,071,056,896/128,512
  6. Step 6: Final answer
    x = 304,026.53

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Why These Related Problems?

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