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Finding the Third Proportional to 136,584 and 297,104

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Solution

The third proportional to 136,584 and 297,104 is: 646,274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,584 : 297,104 = 297,104 : x
  2. Step 2: Convert to fraction form
    136,584/297,104 = 297,104/x
  3. Step 3: Cross multiply
    136,584x = 297,104 × 297,104
  4. Step 4: Simplify right side
    136,584x = 88,270,786,816
  5. Step 5: Solve for x
    x = 88,270,786,816/136,584
  6. Step 6: Final answer
    x = 646,274.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.