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Finding the Third Proportional to 178,330 and 277,019

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Solution

The third proportional to 178,330 and 277,019 is: 430,323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,330 : 277,019 = 277,019 : x
  2. Step 2: Convert to fraction form
    178,330/277,019 = 277,019/x
  3. Step 3: Cross multiply
    178,330x = 277,019 × 277,019
  4. Step 4: Simplify right side
    178,330x = 76,739,526,361
  5. Step 5: Solve for x
    x = 76,739,526,361/178,330
  6. Step 6: Final answer
    x = 430,323.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.