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Finding the Third Proportional to 130,165.50 and 284,199

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Solution

The third proportional to 130,165.50 and 284,199 is: 620,510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,165.50 : 284,199 = 284,199 : x
  2. Step 2: Convert to fraction form
    130,165.50/284,199 = 284,199/x
  3. Step 3: Cross multiply
    130,165.50x = 284,199 × 284,199
  4. Step 4: Simplify right side
    130,165.50x = 80,769,071,601
  5. Step 5: Solve for x
    x = 80,769,071,601/130,165.50
  6. Step 6: Final answer
    x = 620,510.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.