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Finding the Third Proportional to 152,405.50 and 226,400.38

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Solution

The third proportional to 152,405.50 and 226,400.38 is: 336,320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,405.50 : 226,400.38 = 226,400.38 : x
  2. Step 2: Convert to fraction form
    152,405.50/226,400.38 = 226,400.38/x
  3. Step 3: Cross multiply
    152,405.50x = 226,400.38 × 226,400.38
  4. Step 4: Simplify right side
    152,405.50x = 51,257,129,800.14
  5. Step 5: Solve for x
    x = 51,257,129,800.14/152,405.50
  6. Step 6: Final answer
    x = 336,320.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.