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Finding the Third Proportional to 174,334.50 and 368,253

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Solution

The third proportional to 174,334.50 and 368,253 is: 777,873.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,334.50 : 368,253 = 368,253 : x
  2. Step 2: Convert to fraction form
    174,334.50/368,253 = 368,253/x
  3. Step 3: Cross multiply
    174,334.50x = 368,253 × 368,253
  4. Step 4: Simplify right side
    174,334.50x = 135,610,272,009
  5. Step 5: Solve for x
    x = 135,610,272,009/174,334.50
  6. Step 6: Final answer
    x = 777,873.98

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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.