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Finding the Third Proportional to 233,107 and 353,956

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Solution

The third proportional to 233,107 and 353,956 is: 537,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,107 : 353,956 = 353,956 : x
  2. Step 2: Convert to fraction form
    233,107/353,956 = 353,956/x
  3. Step 3: Cross multiply
    233,107x = 353,956 × 353,956
  4. Step 4: Simplify right side
    233,107x = 125,284,849,936
  5. Step 5: Solve for x
    x = 125,284,849,936/233,107
  6. Step 6: Final answer
    x = 537,456.40

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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.