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Finding the Third Proportional to 154,507 and 372,093

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Solution

The third proportional to 154,507 and 372,093 is: 896,096.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,507 : 372,093 = 372,093 : x
  2. Step 2: Convert to fraction form
    154,507/372,093 = 372,093/x
  3. Step 3: Cross multiply
    154,507x = 372,093 × 372,093
  4. Step 4: Simplify right side
    154,507x = 138,453,200,649
  5. Step 5: Solve for x
    x = 138,453,200,649/154,507
  6. Step 6: Final answer
    x = 896,096.62

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.