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Finding the Third Proportional to 147,787.88 and 229,305.94

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Solution

The third proportional to 147,787.88 and 229,305.94 is: 355,788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,787.88 : 229,305.94 = 229,305.94 : x
  2. Step 2: Convert to fraction form
    147,787.88/229,305.94 = 229,305.94/x
  3. Step 3: Cross multiply
    147,787.88x = 229,305.94 × 229,305.94
  4. Step 4: Simplify right side
    147,787.88x = 52,581,212,972.75
  5. Step 5: Solve for x
    x = 52,581,212,972.75/147,787.88
  6. Step 6: Final answer
    x = 355,788.41

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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.