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Finding the Third Proportional to 145,000.50 and 204,195

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Solution

The third proportional to 145,000.50 and 204,195 is: 287,554.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,000.50 : 204,195 = 204,195 : x
  2. Step 2: Convert to fraction form
    145,000.50/204,195 = 204,195/x
  3. Step 3: Cross multiply
    145,000.50x = 204,195 × 204,195
  4. Step 4: Simplify right side
    145,000.50x = 41,695,598,025
  5. Step 5: Solve for x
    x = 41,695,598,025/145,000.50
  6. Step 6: Final answer
    x = 287,554.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.