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Finding the Third Proportional to 233,240 and 340,680

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Solution

The third proportional to 233,240 and 340,680 is: 497,611.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,240 : 340,680 = 340,680 : x
  2. Step 2: Convert to fraction form
    233,240/340,680 = 340,680/x
  3. Step 3: Cross multiply
    233,240x = 340,680 × 340,680
  4. Step 4: Simplify right side
    233,240x = 116,062,862,400
  5. Step 5: Solve for x
    x = 116,062,862,400/233,240
  6. Step 6: Final answer
    x = 497,611.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.