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Finding the Third Proportional to 178,816.50 and 294,529.50

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Solution

The third proportional to 178,816.50 and 294,529.50 is: 485,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,816.50 : 294,529.50 = 294,529.50 : x
  2. Step 2: Convert to fraction form
    178,816.50/294,529.50 = 294,529.50/x
  3. Step 3: Cross multiply
    178,816.50x = 294,529.50 × 294,529.50
  4. Step 4: Simplify right side
    178,816.50x = 86,747,626,370.25
  5. Step 5: Solve for x
    x = 86,747,626,370.25/178,816.50
  6. Step 6: Final answer
    x = 485,120.93

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.