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Finding the Third Proportional to 235,424 and 360,210

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Solution

The third proportional to 235,424 and 360,210 is: 551,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,424 : 360,210 = 360,210 : x
  2. Step 2: Convert to fraction form
    235,424/360,210 = 360,210/x
  3. Step 3: Cross multiply
    235,424x = 360,210 × 360,210
  4. Step 4: Simplify right side
    235,424x = 129,751,244,100
  5. Step 5: Solve for x
    x = 129,751,244,100/235,424
  6. Step 6: Final answer
    x = 551,138.56

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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.