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Finding the Third Proportional to 228,497 and 355,760

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Solution

The third proportional to 228,497 and 355,760 is: 553,903.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,497 : 355,760 = 355,760 : x
  2. Step 2: Convert to fraction form
    228,497/355,760 = 355,760/x
  3. Step 3: Cross multiply
    228,497x = 355,760 × 355,760
  4. Step 4: Simplify right side
    228,497x = 126,565,177,600
  5. Step 5: Solve for x
    x = 126,565,177,600/228,497
  6. Step 6: Final answer
    x = 553,903.02

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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.