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Finding the Third Proportional to 159,970 and 350,072

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Solution

The third proportional to 159,970 and 350,072 is: 766,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,970 : 350,072 = 350,072 : x
  2. Step 2: Convert to fraction form
    159,970/350,072 = 350,072/x
  3. Step 3: Cross multiply
    159,970x = 350,072 × 350,072
  4. Step 4: Simplify right side
    159,970x = 122,550,405,184
  5. Step 5: Solve for x
    x = 122,550,405,184/159,970
  6. Step 6: Final answer
    x = 766,083.67

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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.