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Finding the Third Proportional to 118,326.75 and 183,325.50

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Solution

The third proportional to 118,326.75 and 183,325.50 is: 284,029.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,326.75 : 183,325.50 = 183,325.50 : x
  2. Step 2: Convert to fraction form
    118,326.75/183,325.50 = 183,325.50/x
  3. Step 3: Cross multiply
    118,326.75x = 183,325.50 × 183,325.50
  4. Step 4: Simplify right side
    118,326.75x = 33,608,238,950.25
  5. Step 5: Solve for x
    x = 33,608,238,950.25/118,326.75
  6. Step 6: Final answer
    x = 284,029.09

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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.