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Finding the Third Proportional to 178,200 and 235,548

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Solution

The third proportional to 178,200 and 235,548 is: 311,351.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,200 : 235,548 = 235,548 : x
  2. Step 2: Convert to fraction form
    178,200/235,548 = 235,548/x
  3. Step 3: Cross multiply
    178,200x = 235,548 × 235,548
  4. Step 4: Simplify right side
    178,200x = 55,482,860,304
  5. Step 5: Solve for x
    x = 55,482,860,304/178,200
  6. Step 6: Final answer
    x = 311,351.63

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.