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Finding the Third Proportional to 177,026 and 382,224

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Solution

The third proportional to 177,026 and 382,224 is: 825,275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,026 : 382,224 = 382,224 : x
  2. Step 2: Convert to fraction form
    177,026/382,224 = 382,224/x
  3. Step 3: Cross multiply
    177,026x = 382,224 × 382,224
  4. Step 4: Simplify right side
    177,026x = 146,095,186,176
  5. Step 5: Solve for x
    x = 146,095,186,176/177,026
  6. Step 6: Final answer
    x = 825,275.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.