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Finding the Third Proportional to 136,845 and 294,066

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Solution

The third proportional to 136,845 and 294,066 is: 631,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,845 : 294,066 = 294,066 : x
  2. Step 2: Convert to fraction form
    136,845/294,066 = 294,066/x
  3. Step 3: Cross multiply
    136,845x = 294,066 × 294,066
  4. Step 4: Simplify right side
    136,845x = 86,474,812,356
  5. Step 5: Solve for x
    x = 86,474,812,356/136,845
  6. Step 6: Final answer
    x = 631,917.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.