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Finding the Third Proportional to 201,267.56 and 434,064.94

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Solution

The third proportional to 201,267.56 and 434,064.94 is: 936,128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,267.56 : 434,064.94 = 434,064.94 : x
  2. Step 2: Convert to fraction form
    201,267.56/434,064.94 = 434,064.94/x
  3. Step 3: Cross multiply
    201,267.56x = 434,064.94 × 434,064.94
  4. Step 4: Simplify right side
    201,267.56x = 188,412,369,966.88
  5. Step 5: Solve for x
    x = 188,412,369,966.88/201,267.56
  6. Step 6: Final answer
    x = 936,128.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.