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Finding the Third Proportional to 233,241.75 and 316,486.13

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Solution

The third proportional to 233,241.75 and 316,486.13 is: 429,440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,241.75 : 316,486.13 = 316,486.13 : x
  2. Step 2: Convert to fraction form
    233,241.75/316,486.13 = 316,486.13/x
  3. Step 3: Cross multiply
    233,241.75x = 316,486.13 × 316,486.13
  4. Step 4: Simplify right side
    233,241.75x = 100,163,467,317.52
  5. Step 5: Solve for x
    x = 100,163,467,317.52/233,241.75
  6. Step 6: Final answer
    x = 429,440.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.