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Finding the Third Proportional to 177,178 and 269,046

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Solution

The third proportional to 177,178 and 269,046 is: 408,548.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,178 : 269,046 = 269,046 : x
  2. Step 2: Convert to fraction form
    177,178/269,046 = 269,046/x
  3. Step 3: Cross multiply
    177,178x = 269,046 × 269,046
  4. Step 4: Simplify right side
    177,178x = 72,385,750,116
  5. Step 5: Solve for x
    x = 72,385,750,116/177,178
  6. Step 6: Final answer
    x = 408,548.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.