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Finding the Third Proportional to 159,852 and 350,160

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Solution

The third proportional to 159,852 and 350,160 is: 767,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,852 : 350,160 = 350,160 : x
  2. Step 2: Convert to fraction form
    159,852/350,160 = 350,160/x
  3. Step 3: Cross multiply
    159,852x = 350,160 × 350,160
  4. Step 4: Simplify right side
    159,852x = 122,612,025,600
  5. Step 5: Solve for x
    x = 122,612,025,600/159,852
  6. Step 6: Final answer
    x = 767,034.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.