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Finding the Third Proportional to 118,305.50 and 183,535.50

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Solution

The third proportional to 118,305.50 and 183,535.50 is: 284,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,305.50 : 183,535.50 = 183,535.50 : x
  2. Step 2: Convert to fraction form
    118,305.50/183,535.50 = 183,535.50/x
  3. Step 3: Cross multiply
    118,305.50x = 183,535.50 × 183,535.50
  4. Step 4: Simplify right side
    118,305.50x = 33,685,279,760.25
  5. Step 5: Solve for x
    x = 33,685,279,760.25/118,305.50
  6. Step 6: Final answer
    x = 284,731.31

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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.