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Finding the Third Proportional to 146,100 and 303,432

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Solution

The third proportional to 146,100 and 303,432 is: 630,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,100 : 303,432 = 303,432 : x
  2. Step 2: Convert to fraction form
    146,100/303,432 = 303,432/x
  3. Step 3: Cross multiply
    146,100x = 303,432 × 303,432
  4. Step 4: Simplify right side
    146,100x = 92,070,978,624
  5. Step 5: Solve for x
    x = 92,070,978,624/146,100
  6. Step 6: Final answer
    x = 630,191.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.