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Finding the Third Proportional to 228,834 and 355,914

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Solution

The third proportional to 228,834 and 355,914 is: 553,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,834 : 355,914 = 355,914 : x
  2. Step 2: Convert to fraction form
    228,834/355,914 = 355,914/x
  3. Step 3: Cross multiply
    228,834x = 355,914 × 355,914
  4. Step 4: Simplify right side
    228,834x = 126,674,775,396
  5. Step 5: Solve for x
    x = 126,674,775,396/228,834
  6. Step 6: Final answer
    x = 553,566.23

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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.