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Finding the Third Proportional to 178,152 and 273,948

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Solution

The third proportional to 178,152 and 273,948 is: 421,255.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,152 : 273,948 = 273,948 : x
  2. Step 2: Convert to fraction form
    178,152/273,948 = 273,948/x
  3. Step 3: Cross multiply
    178,152x = 273,948 × 273,948
  4. Step 4: Simplify right side
    178,152x = 75,047,506,704
  5. Step 5: Solve for x
    x = 75,047,506,704/178,152
  6. Step 6: Final answer
    x = 421,255.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.