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Finding the Third Proportional to 102,234 and 208,641

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Solution

The third proportional to 102,234 and 208,641 is: 425,798.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,234 : 208,641 = 208,641 : x
  2. Step 2: Convert to fraction form
    102,234/208,641 = 208,641/x
  3. Step 3: Cross multiply
    102,234x = 208,641 × 208,641
  4. Step 4: Simplify right side
    102,234x = 43,531,066,881
  5. Step 5: Solve for x
    x = 43,531,066,881/102,234
  6. Step 6: Final answer
    x = 425,798.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.