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Finding the Third Proportional to 176,291 and 387,574

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Solution

The third proportional to 176,291 and 387,574 is: 852,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,291 : 387,574 = 387,574 : x
  2. Step 2: Convert to fraction form
    176,291/387,574 = 387,574/x
  3. Step 3: Cross multiply
    176,291x = 387,574 × 387,574
  4. Step 4: Simplify right side
    176,291x = 150,213,605,476
  5. Step 5: Solve for x
    x = 150,213,605,476/176,291
  6. Step 6: Final answer
    x = 852,077.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.