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Finding the Third Proportional to 180,528 and 386,676

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Solution

The third proportional to 180,528 and 386,676 is: 828,227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,528 : 386,676 = 386,676 : x
  2. Step 2: Convert to fraction form
    180,528/386,676 = 386,676/x
  3. Step 3: Cross multiply
    180,528x = 386,676 × 386,676
  4. Step 4: Simplify right side
    180,528x = 149,518,328,976
  5. Step 5: Solve for x
    x = 149,518,328,976/180,528
  6. Step 6: Final answer
    x = 828,227.91

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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.