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Finding the Third Proportional to 178,119 and 255,145.50

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Solution

The third proportional to 178,119 and 255,145.50 is: 365,481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,119 : 255,145.50 = 255,145.50 : x
  2. Step 2: Convert to fraction form
    178,119/255,145.50 = 255,145.50/x
  3. Step 3: Cross multiply
    178,119x = 255,145.50 × 255,145.50
  4. Step 4: Simplify right side
    178,119x = 65,099,226,170.25
  5. Step 5: Solve for x
    x = 65,099,226,170.25/178,119
  6. Step 6: Final answer
    x = 365,481.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.