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Finding the Third Proportional to 177,824 and 385,159

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Solution

The third proportional to 177,824 and 385,159 is: 834,237.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,824 : 385,159 = 385,159 : x
  2. Step 2: Convert to fraction form
    177,824/385,159 = 385,159/x
  3. Step 3: Cross multiply
    177,824x = 385,159 × 385,159
  4. Step 4: Simplify right side
    177,824x = 148,347,455,281
  5. Step 5: Solve for x
    x = 148,347,455,281/177,824
  6. Step 6: Final answer
    x = 834,237.53

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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.