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Finding the Third Proportional to 208,908 and 304,614

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Solution

The third proportional to 208,908 and 304,614 is: 444,165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,908 : 304,614 = 304,614 : x
  2. Step 2: Convert to fraction form
    208,908/304,614 = 304,614/x
  3. Step 3: Cross multiply
    208,908x = 304,614 × 304,614
  4. Step 4: Simplify right side
    208,908x = 92,789,688,996
  5. Step 5: Solve for x
    x = 92,789,688,996/208,908
  6. Step 6: Final answer
    x = 444,165.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.