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Finding the Third Proportional to 136,022 and 294,640

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Solution

The third proportional to 136,022 and 294,640 is: 638,225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,022 : 294,640 = 294,640 : x
  2. Step 2: Convert to fraction form
    136,022/294,640 = 294,640/x
  3. Step 3: Cross multiply
    136,022x = 294,640 × 294,640
  4. Step 4: Simplify right side
    136,022x = 86,812,729,600
  5. Step 5: Solve for x
    x = 86,812,729,600/136,022
  6. Step 6: Final answer
    x = 638,225.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.