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Finding the Third Proportional to 155,854 and 233,777

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Solution

The third proportional to 155,854 and 233,777 is: 350,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,854 : 233,777 = 233,777 : x
  2. Step 2: Convert to fraction form
    155,854/233,777 = 233,777/x
  3. Step 3: Cross multiply
    155,854x = 233,777 × 233,777
  4. Step 4: Simplify right side
    155,854x = 54,651,685,729
  5. Step 5: Solve for x
    x = 54,651,685,729/155,854
  6. Step 6: Final answer
    x = 350,659.50

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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.