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Finding the Third Proportional to 201,133.50 and 298,221

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Solution

The third proportional to 201,133.50 and 298,221 is: 442,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,133.50 : 298,221 = 298,221 : x
  2. Step 2: Convert to fraction form
    201,133.50/298,221 = 298,221/x
  3. Step 3: Cross multiply
    201,133.50x = 298,221 × 298,221
  4. Step 4: Simplify right side
    201,133.50x = 88,935,764,841
  5. Step 5: Solve for x
    x = 88,935,764,841/201,133.50
  6. Step 6: Final answer
    x = 442,172.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.