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Finding the Third Proportional to 130,106 and 284,025

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Solution

The third proportional to 130,106 and 284,025 is: 620,034.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,106 : 284,025 = 284,025 : x
  2. Step 2: Convert to fraction form
    130,106/284,025 = 284,025/x
  3. Step 3: Cross multiply
    130,106x = 284,025 × 284,025
  4. Step 4: Simplify right side
    130,106x = 80,670,200,625
  5. Step 5: Solve for x
    x = 80,670,200,625/130,106
  6. Step 6: Final answer
    x = 620,034.44

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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.