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Finding the Third Proportional to 178,696.50 and 277,846.50

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Solution

The third proportional to 178,696.50 and 277,846.50 is: 432,010.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,696.50 : 277,846.50 = 277,846.50 : x
  2. Step 2: Convert to fraction form
    178,696.50/277,846.50 = 277,846.50/x
  3. Step 3: Cross multiply
    178,696.50x = 277,846.50 × 277,846.50
  4. Step 4: Simplify right side
    178,696.50x = 77,198,677,562.25
  5. Step 5: Solve for x
    x = 77,198,677,562.25/178,696.50
  6. Step 6: Final answer
    x = 432,010.01

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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.