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Finding the Third Proportional to 195,166.50 and 301,612.50

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Solution

The third proportional to 195,166.50 and 301,612.50 is: 466,115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,166.50 : 301,612.50 = 301,612.50 : x
  2. Step 2: Convert to fraction form
    195,166.50/301,612.50 = 301,612.50/x
  3. Step 3: Cross multiply
    195,166.50x = 301,612.50 × 301,612.50
  4. Step 4: Simplify right side
    195,166.50x = 90,970,100,156.25
  5. Step 5: Solve for x
    x = 90,970,100,156.25/195,166.50
  6. Step 6: Final answer
    x = 466,115.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.