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Finding the Third Proportional to 167,500.50 and 364,527

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Solution

The third proportional to 167,500.50 and 364,527 is: 793,310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,500.50 : 364,527 = 364,527 : x
  2. Step 2: Convert to fraction form
    167,500.50/364,527 = 364,527/x
  3. Step 3: Cross multiply
    167,500.50x = 364,527 × 364,527
  4. Step 4: Simplify right side
    167,500.50x = 132,879,933,729
  5. Step 5: Solve for x
    x = 132,879,933,729/167,500.50
  6. Step 6: Final answer
    x = 793,310.67

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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.