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Finding the Third Proportional to 174,343.50 and 368,271

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Solution

The third proportional to 174,343.50 and 368,271 is: 777,909.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,343.50 : 368,271 = 368,271 : x
  2. Step 2: Convert to fraction form
    174,343.50/368,271 = 368,271/x
  3. Step 3: Cross multiply
    174,343.50x = 368,271 × 368,271
  4. Step 4: Simplify right side
    174,343.50x = 135,623,529,441
  5. Step 5: Solve for x
    x = 135,623,529,441/174,343.50
  6. Step 6: Final answer
    x = 777,909.87

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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.