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Finding the Third Proportional to 150,026.63 and 232,228.69

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Solution

The third proportional to 150,026.63 and 232,228.69 is: 359,470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,026.63 : 232,228.69 = 232,228.69 : x
  2. Step 2: Convert to fraction form
    150,026.63/232,228.69 = 232,228.69/x
  3. Step 3: Cross multiply
    150,026.63x = 232,228.69 × 232,228.69
  4. Step 4: Simplify right side
    150,026.63x = 53,930,163,297.97
  5. Step 5: Solve for x
    x = 53,930,163,297.97/150,026.63
  6. Step 6: Final answer
    x = 359,470.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.