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Finding the Third Proportional to 228,768 and 344,835

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Solution

The third proportional to 228,768 and 344,835 is: 519,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,768 : 344,835 = 344,835 : x
  2. Step 2: Convert to fraction form
    228,768/344,835 = 344,835/x
  3. Step 3: Cross multiply
    228,768x = 344,835 × 344,835
  4. Step 4: Simplify right side
    228,768x = 118,911,177,225
  5. Step 5: Solve for x
    x = 118,911,177,225/228,768
  6. Step 6: Final answer
    x = 519,789.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.