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Finding the Third Proportional to 183,330 and 385,110

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Solution

The third proportional to 183,330 and 385,110 is: 808,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,330 : 385,110 = 385,110 : x
  2. Step 2: Convert to fraction form
    183,330/385,110 = 385,110/x
  3. Step 3: Cross multiply
    183,330x = 385,110 × 385,110
  4. Step 4: Simplify right side
    183,330x = 148,309,712,100
  5. Step 5: Solve for x
    x = 148,309,712,100/183,330
  6. Step 6: Final answer
    x = 808,976.77

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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.