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Finding the Third Proportional to 130,172 and 284,212

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Solution

The third proportional to 130,172 and 284,212 is: 620,536.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,172 : 284,212 = 284,212 : x
  2. Step 2: Convert to fraction form
    130,172/284,212 = 284,212/x
  3. Step 3: Cross multiply
    130,172x = 284,212 × 284,212
  4. Step 4: Simplify right side
    130,172x = 80,776,460,944
  5. Step 5: Solve for x
    x = 80,776,460,944/130,172
  6. Step 6: Final answer
    x = 620,536.37

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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.