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Finding the Third Proportional to 175,153 and 364,285

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Solution

The third proportional to 175,153 and 364,285 is: 757,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,153 : 364,285 = 364,285 : x
  2. Step 2: Convert to fraction form
    175,153/364,285 = 364,285/x
  3. Step 3: Cross multiply
    175,153x = 364,285 × 364,285
  4. Step 4: Simplify right side
    175,153x = 132,703,561,225
  5. Step 5: Solve for x
    x = 132,703,561,225/175,153
  6. Step 6: Final answer
    x = 757,643.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.