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Finding the Third Proportional to 233,259.75 and 316,512

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Solution

The third proportional to 233,259.75 and 316,512 is: 429,477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,259.75 : 316,512 = 316,512 : x
  2. Step 2: Convert to fraction form
    233,259.75/316,512 = 316,512/x
  3. Step 3: Cross multiply
    233,259.75x = 316,512 × 316,512
  4. Step 4: Simplify right side
    233,259.75x = 100,179,846,144
  5. Step 5: Solve for x
    x = 100,179,846,144/233,259.75
  6. Step 6: Final answer
    x = 429,477.64

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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.