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Finding the Third Proportional to 228,788 and 349,984

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Solution

The third proportional to 228,788 and 349,984 is: 535,381.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,788 : 349,984 = 349,984 : x
  2. Step 2: Convert to fraction form
    228,788/349,984 = 349,984/x
  3. Step 3: Cross multiply
    228,788x = 349,984 × 349,984
  4. Step 4: Simplify right side
    228,788x = 122,488,800,256
  5. Step 5: Solve for x
    x = 122,488,800,256/228,788
  6. Step 6: Final answer
    x = 535,381.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.