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Finding the Third Proportional to 236,444 and 361,736

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Solution

The third proportional to 236,444 and 361,736 is: 553,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,444 : 361,736 = 361,736 : x
  2. Step 2: Convert to fraction form
    236,444/361,736 = 361,736/x
  3. Step 3: Cross multiply
    236,444x = 361,736 × 361,736
  4. Step 4: Simplify right side
    236,444x = 130,852,933,696
  5. Step 5: Solve for x
    x = 130,852,933,696/236,444
  6. Step 6: Final answer
    x = 553,420.40

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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.