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Finding the Third Proportional to 250,984.50 and 382,358

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Solution

The third proportional to 250,984.50 and 382,358 is: 582,496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,984.50 : 382,358 = 382,358 : x
  2. Step 2: Convert to fraction form
    250,984.50/382,358 = 382,358/x
  3. Step 3: Cross multiply
    250,984.50x = 382,358 × 382,358
  4. Step 4: Simplify right side
    250,984.50x = 146,197,640,164
  5. Step 5: Solve for x
    x = 146,197,640,164/250,984.50
  6. Step 6: Final answer
    x = 582,496.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.