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Finding the Third Proportional to 136,968 and 294,306

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Solution

The third proportional to 136,968 and 294,306 is: 632,381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,968 : 294,306 = 294,306 : x
  2. Step 2: Convert to fraction form
    136,968/294,306 = 294,306/x
  3. Step 3: Cross multiply
    136,968x = 294,306 × 294,306
  4. Step 4: Simplify right side
    136,968x = 86,616,021,636
  5. Step 5: Solve for x
    x = 86,616,021,636/136,968
  6. Step 6: Final answer
    x = 632,381.44

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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.