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Finding the Third Proportional to 154,189 and 176,333

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Solution

The third proportional to 154,189 and 176,333 is: 201,657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,189 : 176,333 = 176,333 : x
  2. Step 2: Convert to fraction form
    154,189/176,333 = 176,333/x
  3. Step 3: Cross multiply
    154,189x = 176,333 × 176,333
  4. Step 4: Simplify right side
    154,189x = 31,093,326,889
  5. Step 5: Solve for x
    x = 31,093,326,889/154,189
  6. Step 6: Final answer
    x = 201,657.23

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.