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Finding the Third Proportional to 180,414 and 285,662

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Solution

The third proportional to 180,414 and 285,662 is: 452,308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,414 : 285,662 = 285,662 : x
  2. Step 2: Convert to fraction form
    180,414/285,662 = 285,662/x
  3. Step 3: Cross multiply
    180,414x = 285,662 × 285,662
  4. Step 4: Simplify right side
    180,414x = 81,602,778,244
  5. Step 5: Solve for x
    x = 81,602,778,244/180,414
  6. Step 6: Final answer
    x = 452,308.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.