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Finding the Third Proportional to 213,624 and 335,100

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Solution

The third proportional to 213,624 and 335,100 is: 525,652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,624 : 335,100 = 335,100 : x
  2. Step 2: Convert to fraction form
    213,624/335,100 = 335,100/x
  3. Step 3: Cross multiply
    213,624x = 335,100 × 335,100
  4. Step 4: Simplify right side
    213,624x = 112,292,010,000
  5. Step 5: Solve for x
    x = 112,292,010,000/213,624
  6. Step 6: Final answer
    x = 525,652.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.