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Finding the Third Proportional to 201,193.88 and 426,373.88

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Solution

The third proportional to 201,193.88 and 426,373.88 is: 903,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,193.88 : 426,373.88 = 426,373.88 : x
  2. Step 2: Convert to fraction form
    201,193.88/426,373.88 = 426,373.88/x
  3. Step 3: Cross multiply
    201,193.88x = 426,373.88 × 426,373.88
  4. Step 4: Simplify right side
    201,193.88x = 181,794,681,282.52
  5. Step 5: Solve for x
    x = 181,794,681,282.52/201,193.88
  6. Step 6: Final answer
    x = 903,579.60

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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.