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Finding the Third Proportional to 174,314 and 368,212

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Solution

The third proportional to 174,314 and 368,212 is: 777,792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,314 : 368,212 = 368,212 : x
  2. Step 2: Convert to fraction form
    174,314/368,212 = 368,212/x
  3. Step 3: Cross multiply
    174,314x = 368,212 × 368,212
  4. Step 4: Simplify right side
    174,314x = 135,580,076,944
  5. Step 5: Solve for x
    x = 135,580,076,944/174,314
  6. Step 6: Final answer
    x = 777,792.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.