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Finding the Third Proportional to 183,334 and 385,118

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Solution

The third proportional to 183,334 and 385,118 is: 808,992.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,334 : 385,118 = 385,118 : x
  2. Step 2: Convert to fraction form
    183,334/385,118 = 385,118/x
  3. Step 3: Cross multiply
    183,334x = 385,118 × 385,118
  4. Step 4: Simplify right side
    183,334x = 148,315,873,924
  5. Step 5: Solve for x
    x = 148,315,873,924/183,334
  6. Step 6: Final answer
    x = 808,992.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.