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Finding the Third Proportional to 90,753 and 208,303

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Solution

The third proportional to 90,753 and 208,303 is: 478,112.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,753 : 208,303 = 208,303 : x
  2. Step 2: Convert to fraction form
    90,753/208,303 = 208,303/x
  3. Step 3: Cross multiply
    90,753x = 208,303 × 208,303
  4. Step 4: Simplify right side
    90,753x = 43,390,139,809
  5. Step 5: Solve for x
    x = 43,390,139,809/90,753
  6. Step 6: Final answer
    x = 478,112.46

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.