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Finding the Third Proportional to 251,213 and 341,124

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Solution

The third proportional to 251,213 and 341,124 is: 463,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,213 : 341,124 = 341,124 : x
  2. Step 2: Convert to fraction form
    251,213/341,124 = 341,124/x
  3. Step 3: Cross multiply
    251,213x = 341,124 × 341,124
  4. Step 4: Simplify right side
    251,213x = 116,365,583,376
  5. Step 5: Solve for x
    x = 116,365,583,376/251,213
  6. Step 6: Final answer
    x = 463,214.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.