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Finding the Third Proportional to 201,108.06 and 295,506.13

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Solution

The third proportional to 201,108.06 and 295,506.13 is: 434,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,108.06 : 295,506.13 = 295,506.13 : x
  2. Step 2: Convert to fraction form
    201,108.06/295,506.13 = 295,506.13/x
  3. Step 3: Cross multiply
    201,108.06x = 295,506.13 × 295,506.13
  4. Step 4: Simplify right side
    201,108.06x = 87,323,869,912.52
  5. Step 5: Solve for x
    x = 87,323,869,912.52/201,108.06
  6. Step 6: Final answer
    x = 434,213.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.