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Finding the Third Proportional to 233,680 and 350,133

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Solution

The third proportional to 233,680 and 350,133 is: 524,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,680 : 350,133 = 350,133 : x
  2. Step 2: Convert to fraction form
    233,680/350,133 = 350,133/x
  3. Step 3: Cross multiply
    233,680x = 350,133 × 350,133
  4. Step 4: Simplify right side
    233,680x = 122,593,117,689
  5. Step 5: Solve for x
    x = 122,593,117,689/233,680
  6. Step 6: Final answer
    x = 524,619.64

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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.