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Finding the Third Proportional to 201,215.81 and 426,419.44

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Solution

The third proportional to 201,215.81 and 426,419.44 is: 903,674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,215.81 : 426,419.44 = 426,419.44 : x
  2. Step 2: Convert to fraction form
    201,215.81/426,419.44 = 426,419.44/x
  3. Step 3: Cross multiply
    201,215.81x = 426,419.44 × 426,419.44
  4. Step 4: Simplify right side
    201,215.81x = 181,833,536,677.82
  5. Step 5: Solve for x
    x = 181,833,536,677.82/201,215.81
  6. Step 6: Final answer
    x = 903,674.19

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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.