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Finding the Third Proportional to 235,405 and 348,529

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Solution

The third proportional to 235,405 and 348,529 is: 516,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,405 : 348,529 = 348,529 : x
  2. Step 2: Convert to fraction form
    235,405/348,529 = 348,529/x
  3. Step 3: Cross multiply
    235,405x = 348,529 × 348,529
  4. Step 4: Simplify right side
    235,405x = 121,472,463,841
  5. Step 5: Solve for x
    x = 121,472,463,841/235,405
  6. Step 6: Final answer
    x = 516,014.80

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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.