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Finding the Third Proportional to 201,204.42 and 426,397.50

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Solution

The third proportional to 201,204.42 and 426,397.50 is: 903,632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204.42 : 426,397.50 = 426,397.50 : x
  2. Step 2: Convert to fraction form
    201,204.42/426,397.50 = 426,397.50/x
  3. Step 3: Cross multiply
    201,204.42x = 426,397.50 × 426,397.50
  4. Step 4: Simplify right side
    201,204.42x = 181,814,828,006.25
  5. Step 5: Solve for x
    x = 181,814,828,006.25/201,204.42
  6. Step 6: Final answer
    x = 903,632.37

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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.