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Finding the Third Proportional to 201,199.50 and 426,384

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Solution

The third proportional to 201,199.50 and 426,384 is: 903,597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,199.50 : 426,384 = 426,384 : x
  2. Step 2: Convert to fraction form
    201,199.50/426,384 = 426,384/x
  3. Step 3: Cross multiply
    201,199.50x = 426,384 × 426,384
  4. Step 4: Simplify right side
    201,199.50x = 181,803,315,456
  5. Step 5: Solve for x
    x = 181,803,315,456/201,199.50
  6. Step 6: Final answer
    x = 903,597.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.