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Finding the Third Proportional to 180,567 and 388,882.50

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Solution

The third proportional to 180,567 and 388,882.50 is: 837,526.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,567 : 388,882.50 = 388,882.50 : x
  2. Step 2: Convert to fraction form
    180,567/388,882.50 = 388,882.50/x
  3. Step 3: Cross multiply
    180,567x = 388,882.50 × 388,882.50
  4. Step 4: Simplify right side
    180,567x = 151,229,598,806.25
  5. Step 5: Solve for x
    x = 151,229,598,806.25/180,567
  6. Step 6: Final answer
    x = 837,526.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.