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Finding the Third Proportional to 179,485.50 and 277,882.50

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Solution

The third proportional to 179,485.50 and 277,882.50 is: 430,222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,485.50 : 277,882.50 = 277,882.50 : x
  2. Step 2: Convert to fraction form
    179,485.50/277,882.50 = 277,882.50/x
  3. Step 3: Cross multiply
    179,485.50x = 277,882.50 × 277,882.50
  4. Step 4: Simplify right side
    179,485.50x = 77,218,683,806.25
  5. Step 5: Solve for x
    x = 77,218,683,806.25/179,485.50
  6. Step 6: Final answer
    x = 430,222.41

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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.