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Finding the Third Proportional to 155,984 and 235,384

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Solution

The third proportional to 155,984 and 235,384 is: 355,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,984 : 235,384 = 235,384 : x
  2. Step 2: Convert to fraction form
    155,984/235,384 = 235,384/x
  3. Step 3: Cross multiply
    155,984x = 235,384 × 235,384
  4. Step 4: Simplify right side
    155,984x = 55,405,627,456
  5. Step 5: Solve for x
    x = 55,405,627,456/155,984
  6. Step 6: Final answer
    x = 355,200.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.