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Finding the Third Proportional to 213,529.50 and 327,430.13

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Solution

The third proportional to 213,529.50 and 327,430.13 is: 502,087.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,529.50 : 327,430.13 = 327,430.13 : x
  2. Step 2: Convert to fraction form
    213,529.50/327,430.13 = 327,430.13/x
  3. Step 3: Cross multiply
    213,529.50x = 327,430.13 × 327,430.13
  4. Step 4: Simplify right side
    213,529.50x = 107,210,486,757.52
  5. Step 5: Solve for x
    x = 107,210,486,757.52/213,529.50
  6. Step 6: Final answer
    x = 502,087.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.