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Finding the Third Proportional to 201,928.50 and 440,536.50

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Solution

The third proportional to 201,928.50 and 440,536.50 is: 961,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,928.50 : 440,536.50 = 440,536.50 : x
  2. Step 2: Convert to fraction form
    201,928.50/440,536.50 = 440,536.50/x
  3. Step 3: Cross multiply
    201,928.50x = 440,536.50 × 440,536.50
  4. Step 4: Simplify right side
    201,928.50x = 194,072,407,832.25
  5. Step 5: Solve for x
    x = 194,072,407,832.25/201,928.50
  6. Step 6: Final answer
    x = 961,094.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.