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Finding the Third Proportional to 236,266.88 and 379,000.13

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Solution

The third proportional to 236,266.88 and 379,000.13 is: 607,961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,266.88 : 379,000.13 = 379,000.13 : x
  2. Step 2: Convert to fraction form
    236,266.88/379,000.13 = 379,000.13/x
  3. Step 3: Cross multiply
    236,266.88x = 379,000.13 × 379,000.13
  4. Step 4: Simplify right side
    236,266.88x = 143,641,094,750.02
  5. Step 5: Solve for x
    x = 143,641,094,750.02/236,266.88
  6. Step 6: Final answer
    x = 607,961.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.