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Finding the Third Proportional to 268,480 and 376,350

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Solution

The third proportional to 268,480 and 376,350 is: 527,560.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,480 : 376,350 = 376,350 : x
  2. Step 2: Convert to fraction form
    268,480/376,350 = 376,350/x
  3. Step 3: Cross multiply
    268,480x = 376,350 × 376,350
  4. Step 4: Simplify right side
    268,480x = 141,639,322,500
  5. Step 5: Solve for x
    x = 141,639,322,500/268,480
  6. Step 6: Final answer
    x = 527,560.05

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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.