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Finding the Third Proportional to 90,053 and 208,456

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Solution

The third proportional to 90,053 and 208,456 is: 482,536.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,053 : 208,456 = 208,456 : x
  2. Step 2: Convert to fraction form
    90,053/208,456 = 208,456/x
  3. Step 3: Cross multiply
    90,053x = 208,456 × 208,456
  4. Step 4: Simplify right side
    90,053x = 43,453,903,936
  5. Step 5: Solve for x
    x = 43,453,903,936/90,053
  6. Step 6: Final answer
    x = 482,536.99

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.