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Finding the Third Proportional to 155,424.38 and 233,713.13

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Solution

The third proportional to 155,424.38 and 233,713.13 is: 351,436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,424.38 : 233,713.13 = 233,713.13 : x
  2. Step 2: Convert to fraction form
    155,424.38/233,713.13 = 233,713.13/x
  3. Step 3: Cross multiply
    155,424.38x = 233,713.13 × 233,713.13
  4. Step 4: Simplify right side
    155,424.38x = 54,621,824,797.27
  5. Step 5: Solve for x
    x = 54,621,824,797.27/155,424.38
  6. Step 6: Final answer
    x = 351,436.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.