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Finding the Third Proportional to 180,384 and 402,176

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Solution

The third proportional to 180,384 and 402,176 is: 896,673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,384 : 402,176 = 402,176 : x
  2. Step 2: Convert to fraction form
    180,384/402,176 = 402,176/x
  3. Step 3: Cross multiply
    180,384x = 402,176 × 402,176
  4. Step 4: Simplify right side
    180,384x = 161,745,534,976
  5. Step 5: Solve for x
    x = 161,745,534,976/180,384
  6. Step 6: Final answer
    x = 896,673.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.