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Finding the Third Proportional to 128,784 and 198,984

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Solution

The third proportional to 128,784 and 198,984 is: 307,449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,784 : 198,984 = 198,984 : x
  2. Step 2: Convert to fraction form
    128,784/198,984 = 198,984/x
  3. Step 3: Cross multiply
    128,784x = 198,984 × 198,984
  4. Step 4: Simplify right side
    128,784x = 39,594,632,256
  5. Step 5: Solve for x
    x = 39,594,632,256/128,784
  6. Step 6: Final answer
    x = 307,449.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.