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Finding the Third Proportional to 177,516 and 384,786

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Solution

The third proportional to 177,516 and 384,786 is: 834,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,516 : 384,786 = 384,786 : x
  2. Step 2: Convert to fraction form
    177,516/384,786 = 384,786/x
  3. Step 3: Cross multiply
    177,516x = 384,786 × 384,786
  4. Step 4: Simplify right side
    177,516x = 148,060,265,796
  5. Step 5: Solve for x
    x = 148,060,265,796/177,516
  6. Step 6: Final answer
    x = 834,067.16

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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.