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Finding the Third Proportional to 203,024 and 304,552

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Solution

The third proportional to 203,024 and 304,552 is: 456,852.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,024 : 304,552 = 304,552 : x
  2. Step 2: Convert to fraction form
    203,024/304,552 = 304,552/x
  3. Step 3: Cross multiply
    203,024x = 304,552 × 304,552
  4. Step 4: Simplify right side
    203,024x = 92,751,920,704
  5. Step 5: Solve for x
    x = 92,751,920,704/203,024
  6. Step 6: Final answer
    x = 456,852.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.