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Finding the Third Proportional to 182,020 and 275,574

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Solution

The third proportional to 182,020 and 275,574 is: 417,212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,020 : 275,574 = 275,574 : x
  2. Step 2: Convert to fraction form
    182,020/275,574 = 275,574/x
  3. Step 3: Cross multiply
    182,020x = 275,574 × 275,574
  4. Step 4: Simplify right side
    182,020x = 75,941,029,476
  5. Step 5: Solve for x
    x = 75,941,029,476/182,020
  6. Step 6: Final answer
    x = 417,212.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.