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Finding the Third Proportional to 177,480 and 385,062

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Solution

The third proportional to 177,480 and 385,062 is: 835,433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,480 : 385,062 = 385,062 : x
  2. Step 2: Convert to fraction form
    177,480/385,062 = 385,062/x
  3. Step 3: Cross multiply
    177,480x = 385,062 × 385,062
  4. Step 4: Simplify right side
    177,480x = 148,272,743,844
  5. Step 5: Solve for x
    x = 148,272,743,844/177,480
  6. Step 6: Final answer
    x = 835,433.54

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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.