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Finding the Third Proportional to 233,860 and 342,036

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Solution

The third proportional to 233,860 and 342,036 is: 500,250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,860 : 342,036 = 342,036 : x
  2. Step 2: Convert to fraction form
    233,860/342,036 = 342,036/x
  3. Step 3: Cross multiply
    233,860x = 342,036 × 342,036
  4. Step 4: Simplify right side
    233,860x = 116,988,625,296
  5. Step 5: Solve for x
    x = 116,988,625,296/233,860
  6. Step 6: Final answer
    x = 500,250.69

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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.