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Finding the Third Proportional to 233,740 and 350,610

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Solution

The third proportional to 233,740 and 350,610 is: 525,915

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,740 : 350,610 = 350,610 : x
  2. Step 2: Convert to fraction form
    233,740/350,610 = 350,610/x
  3. Step 3: Cross multiply
    233,740x = 350,610 × 350,610
  4. Step 4: Simplify right side
    233,740x = 122,927,372,100
  5. Step 5: Solve for x
    x = 122,927,372,100/233,740
  6. Step 6: Final answer
    x = 525,915

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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.