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Finding the Third Proportional to 234,930 and 357,903

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Solution

The third proportional to 234,930 and 357,903 is: 545,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,930 : 357,903 = 357,903 : x
  2. Step 2: Convert to fraction form
    234,930/357,903 = 357,903/x
  3. Step 3: Cross multiply
    234,930x = 357,903 × 357,903
  4. Step 4: Simplify right side
    234,930x = 128,094,557,409
  5. Step 5: Solve for x
    x = 128,094,557,409/234,930
  6. Step 6: Final answer
    x = 545,245.64

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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.