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Finding the Third Proportional to 131,397 and 282,477

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Solution

The third proportional to 131,397 and 282,477 is: 607,268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,397 : 282,477 = 282,477 : x
  2. Step 2: Convert to fraction form
    131,397/282,477 = 282,477/x
  3. Step 3: Cross multiply
    131,397x = 282,477 × 282,477
  4. Step 4: Simplify right side
    131,397x = 79,793,255,529
  5. Step 5: Solve for x
    x = 79,793,255,529/131,397
  6. Step 6: Final answer
    x = 607,268.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.