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Finding the Third Proportional to 253,543.50 and 379,523.50

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Solution

The third proportional to 253,543.50 and 379,523.50 is: 568,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,543.50 : 379,523.50 = 379,523.50 : x
  2. Step 2: Convert to fraction form
    253,543.50/379,523.50 = 379,523.50/x
  3. Step 3: Cross multiply
    253,543.50x = 379,523.50 × 379,523.50
  4. Step 4: Simplify right side
    253,543.50x = 144,038,087,052.25
  5. Step 5: Solve for x
    x = 144,038,087,052.25/253,543.50
  6. Step 6: Final answer
    x = 568,100.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.