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Finding the Third Proportional to 225,747 and 349,737.75

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Solution

The third proportional to 225,747 and 349,737.75 is: 541,829.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,747 : 349,737.75 = 349,737.75 : x
  2. Step 2: Convert to fraction form
    225,747/349,737.75 = 349,737.75/x
  3. Step 3: Cross multiply
    225,747x = 349,737.75 × 349,737.75
  4. Step 4: Simplify right side
    225,747x = 122,316,493,775.06
  5. Step 5: Solve for x
    x = 122,316,493,775.06/225,747
  6. Step 6: Final answer
    x = 541,829.99

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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.