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Finding the Third Proportional to 202,520 and 306,800

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Solution

The third proportional to 202,520 and 306,800 is: 464,775.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,520 : 306,800 = 306,800 : x
  2. Step 2: Convert to fraction form
    202,520/306,800 = 306,800/x
  3. Step 3: Cross multiply
    202,520x = 306,800 × 306,800
  4. Step 4: Simplify right side
    202,520x = 94,126,240,000
  5. Step 5: Solve for x
    x = 94,126,240,000/202,520
  6. Step 6: Final answer
    x = 464,775.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.