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Finding the Third Proportional to 233,187.75 and 370,809

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Solution

The third proportional to 233,187.75 and 370,809 is: 589,650.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,187.75 : 370,809 = 370,809 : x
  2. Step 2: Convert to fraction form
    233,187.75/370,809 = 370,809/x
  3. Step 3: Cross multiply
    233,187.75x = 370,809 × 370,809
  4. Step 4: Simplify right side
    233,187.75x = 137,499,314,481
  5. Step 5: Solve for x
    x = 137,499,314,481/233,187.75
  6. Step 6: Final answer
    x = 589,650.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.