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Finding the Third Proportional to 177,702 and 384,888

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Solution

The third proportional to 177,702 and 384,888 is: 833,635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,702 : 384,888 = 384,888 : x
  2. Step 2: Convert to fraction form
    177,702/384,888 = 384,888/x
  3. Step 3: Cross multiply
    177,702x = 384,888 × 384,888
  4. Step 4: Simplify right side
    177,702x = 148,138,772,544
  5. Step 5: Solve for x
    x = 148,138,772,544/177,702
  6. Step 6: Final answer
    x = 833,635.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.