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Finding the Third Proportional to 177,602 and 380,476

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Solution

The third proportional to 177,602 and 380,476 is: 815,092.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,602 : 380,476 = 380,476 : x
  2. Step 2: Convert to fraction form
    177,602/380,476 = 380,476/x
  3. Step 3: Cross multiply
    177,602x = 380,476 × 380,476
  4. Step 4: Simplify right side
    177,602x = 144,761,986,576
  5. Step 5: Solve for x
    x = 144,761,986,576/177,602
  6. Step 6: Final answer
    x = 815,092.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.