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Finding the Third Proportional to 146,215.13 and 303,527.25

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Solution

The third proportional to 146,215.13 and 303,527.25 is: 630,090.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,215.13 : 303,527.25 = 303,527.25 : x
  2. Step 2: Convert to fraction form
    146,215.13/303,527.25 = 303,527.25/x
  3. Step 3: Cross multiply
    146,215.13x = 303,527.25 × 303,527.25
  4. Step 4: Simplify right side
    146,215.13x = 92,128,791,492.56
  5. Step 5: Solve for x
    x = 92,128,791,492.56/146,215.13
  6. Step 6: Final answer
    x = 630,090.71

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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.