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Finding the Third Proportional to 225,787.50 and 349,797

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Solution

The third proportional to 225,787.50 and 349,797 is: 541,916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,787.50 : 349,797 = 349,797 : x
  2. Step 2: Convert to fraction form
    225,787.50/349,797 = 349,797/x
  3. Step 3: Cross multiply
    225,787.50x = 349,797 × 349,797
  4. Step 4: Simplify right side
    225,787.50x = 122,357,941,209
  5. Step 5: Solve for x
    x = 122,357,941,209/225,787.50
  6. Step 6: Final answer
    x = 541,916.36

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