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Finding the Third Proportional to 233,667 and 350,106

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Solution

The third proportional to 233,667 and 350,106 is: 524,567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,667 : 350,106 = 350,106 : x
  2. Step 2: Convert to fraction form
    233,667/350,106 = 350,106/x
  3. Step 3: Cross multiply
    233,667x = 350,106 × 350,106
  4. Step 4: Simplify right side
    233,667x = 122,574,211,236
  5. Step 5: Solve for x
    x = 122,574,211,236/233,667
  6. Step 6: Final answer
    x = 524,567.92

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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.