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Finding the Third Proportional to 152,226.75 and 344,301.38

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Solution

The third proportional to 152,226.75 and 344,301.38 is: 778,729.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,226.75 : 344,301.38 = 344,301.38 : x
  2. Step 2: Convert to fraction form
    152,226.75/344,301.38 = 344,301.38/x
  3. Step 3: Cross multiply
    152,226.75x = 344,301.38 × 344,301.38
  4. Step 4: Simplify right side
    152,226.75x = 118,543,436,826.89
  5. Step 5: Solve for x
    x = 118,543,436,826.89/152,226.75
  6. Step 6: Final answer
    x = 778,729.34

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.