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Finding the Third Proportional to 152,023.50 and 351,893.25

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Solution

The third proportional to 152,023.50 and 351,893.25 is: 814,537.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,023.50 : 351,893.25 = 351,893.25 : x
  2. Step 2: Convert to fraction form
    152,023.50/351,893.25 = 351,893.25/x
  3. Step 3: Cross multiply
    152,023.50x = 351,893.25 × 351,893.25
  4. Step 4: Simplify right side
    152,023.50x = 123,828,859,395.56
  5. Step 5: Solve for x
    x = 123,828,859,395.56/152,023.50
  6. Step 6: Final answer
    x = 814,537.62

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.