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Finding the Third Proportional to 233,672 and 350,112

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Solution

The third proportional to 233,672 and 350,112 is: 524,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,672 : 350,112 = 350,112 : x
  2. Step 2: Convert to fraction form
    233,672/350,112 = 350,112/x
  3. Step 3: Cross multiply
    233,672x = 350,112 × 350,112
  4. Step 4: Simplify right side
    233,672x = 122,578,412,544
  5. Step 5: Solve for x
    x = 122,578,412,544/233,672
  6. Step 6: Final answer
    x = 524,574.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.