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Finding the Third Proportional to 236,010 and 361,020

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Solution

The third proportional to 236,010 and 361,020 is: 552,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,010 : 361,020 = 361,020 : x
  2. Step 2: Convert to fraction form
    236,010/361,020 = 361,020/x
  3. Step 3: Cross multiply
    236,010x = 361,020 × 361,020
  4. Step 4: Simplify right side
    236,010x = 130,335,440,400
  5. Step 5: Solve for x
    x = 130,335,440,400/236,010
  6. Step 6: Final answer
    x = 552,245.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.