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Finding the Third Proportional to 233,990 and 342,210

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Solution

The third proportional to 233,990 and 342,210 is: 500,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,990 : 342,210 = 342,210 : x
  2. Step 2: Convert to fraction form
    233,990/342,210 = 342,210/x
  3. Step 3: Cross multiply
    233,990x = 342,210 × 342,210
  4. Step 4: Simplify right side
    233,990x = 117,107,684,100
  5. Step 5: Solve for x
    x = 117,107,684,100/233,990
  6. Step 6: Final answer
    x = 500,481.58

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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.