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Finding the Third Proportional to 164,568 and 357,936

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Solution

The third proportional to 164,568 and 357,936 is: 778,512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,568 : 357,936 = 357,936 : x
  2. Step 2: Convert to fraction form
    164,568/357,936 = 357,936/x
  3. Step 3: Cross multiply
    164,568x = 357,936 × 357,936
  4. Step 4: Simplify right side
    164,568x = 128,118,180,096
  5. Step 5: Solve for x
    x = 128,118,180,096/164,568
  6. Step 6: Final answer
    x = 778,512.11

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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.