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Finding the Third Proportional to 180,998 and 386,032

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Solution

The third proportional to 180,998 and 386,032 is: 823,327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,998 : 386,032 = 386,032 : x
  2. Step 2: Convert to fraction form
    180,998/386,032 = 386,032/x
  3. Step 3: Cross multiply
    180,998x = 386,032 × 386,032
  4. Step 4: Simplify right side
    180,998x = 149,020,705,024
  5. Step 5: Solve for x
    x = 149,020,705,024/180,998
  6. Step 6: Final answer
    x = 823,327.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.