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Finding the Third Proportional to 268,371 and 376,155

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Solution

The third proportional to 268,371 and 376,155 is: 527,227.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,371 : 376,155 = 376,155 : x
  2. Step 2: Convert to fraction form
    268,371/376,155 = 376,155/x
  3. Step 3: Cross multiply
    268,371x = 376,155 × 376,155
  4. Step 4: Simplify right side
    268,371x = 141,492,584,025
  5. Step 5: Solve for x
    x = 141,492,584,025/268,371
  6. Step 6: Final answer
    x = 527,227.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.