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Finding the Third Proportional to 224,673 and 346,965

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Solution

The third proportional to 224,673 and 346,965 is: 535,821.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,673 : 346,965 = 346,965 : x
  2. Step 2: Convert to fraction form
    224,673/346,965 = 346,965/x
  3. Step 3: Cross multiply
    224,673x = 346,965 × 346,965
  4. Step 4: Simplify right side
    224,673x = 120,384,711,225
  5. Step 5: Solve for x
    x = 120,384,711,225/224,673
  6. Step 6: Final answer
    x = 535,821.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.