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Finding the Third Proportional to 228,493 and 355,754

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Solution

The third proportional to 228,493 and 355,754 is: 553,894.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,493 : 355,754 = 355,754 : x
  2. Step 2: Convert to fraction form
    228,493/355,754 = 355,754/x
  3. Step 3: Cross multiply
    228,493x = 355,754 × 355,754
  4. Step 4: Simplify right side
    228,493x = 126,560,908,516
  5. Step 5: Solve for x
    x = 126,560,908,516/228,493
  6. Step 6: Final answer
    x = 553,894.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.