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Finding the Third Proportional to 151,569 and 235,350

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Solution

The third proportional to 151,569 and 235,350 is: 365,441.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,569 : 235,350 = 235,350 : x
  2. Step 2: Convert to fraction form
    151,569/235,350 = 235,350/x
  3. Step 3: Cross multiply
    151,569x = 235,350 × 235,350
  4. Step 4: Simplify right side
    151,569x = 55,389,622,500
  5. Step 5: Solve for x
    x = 55,389,622,500/151,569
  6. Step 6: Final answer
    x = 365,441.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.