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Finding the Third Proportional to 178,050 and 277,287

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Solution

The third proportional to 178,050 and 277,287 is: 431,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,050 : 277,287 = 277,287 : x
  2. Step 2: Convert to fraction form
    178,050/277,287 = 277,287/x
  3. Step 3: Cross multiply
    178,050x = 277,287 × 277,287
  4. Step 4: Simplify right side
    178,050x = 76,888,080,369
  5. Step 5: Solve for x
    x = 76,888,080,369/178,050
  6. Step 6: Final answer
    x = 431,834.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.