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Finding the Third Proportional to 179,478.50 and 277,871.75

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Solution

The third proportional to 179,478.50 and 277,871.75 is: 430,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,478.50 : 277,871.75 = 277,871.75 : x
  2. Step 2: Convert to fraction form
    179,478.50/277,871.75 = 277,871.75/x
  3. Step 3: Cross multiply
    179,478.50x = 277,871.75 × 277,871.75
  4. Step 4: Simplify right side
    179,478.50x = 77,212,709,448.06
  5. Step 5: Solve for x
    x = 77,212,709,448.06/179,478.50
  6. Step 6: Final answer
    x = 430,205.90

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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.