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Finding the Third Proportional to 154,656 and 361,350

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Solution

The third proportional to 154,656 and 361,350 is: 844,285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,656 : 361,350 = 361,350 : x
  2. Step 2: Convert to fraction form
    154,656/361,350 = 361,350/x
  3. Step 3: Cross multiply
    154,656x = 361,350 × 361,350
  4. Step 4: Simplify right side
    154,656x = 130,573,822,500
  5. Step 5: Solve for x
    x = 130,573,822,500/154,656
  6. Step 6: Final answer
    x = 844,285.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.