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Finding the Third Proportional to 223,608 and 343,200

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Solution

The third proportional to 223,608 and 343,200 is: 526,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,608 : 343,200 = 343,200 : x
  2. Step 2: Convert to fraction form
    223,608/343,200 = 343,200/x
  3. Step 3: Cross multiply
    223,608x = 343,200 × 343,200
  4. Step 4: Simplify right side
    223,608x = 117,786,240,000
  5. Step 5: Solve for x
    x = 117,786,240,000/223,608
  6. Step 6: Final answer
    x = 526,753.25

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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.