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Finding the Third Proportional to 254,344 and 377,196

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Solution

The third proportional to 254,344 and 377,196 is: 559,387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,344 : 377,196 = 377,196 : x
  2. Step 2: Convert to fraction form
    254,344/377,196 = 377,196/x
  3. Step 3: Cross multiply
    254,344x = 377,196 × 377,196
  4. Step 4: Simplify right side
    254,344x = 142,276,822,416
  5. Step 5: Solve for x
    x = 142,276,822,416/254,344
  6. Step 6: Final answer
    x = 559,387.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.