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Finding the Third Proportional to 233,901.75 and 305,872.50

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Solution

The third proportional to 233,901.75 and 305,872.50 is: 399,988.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,901.75 : 305,872.50 = 305,872.50 : x
  2. Step 2: Convert to fraction form
    233,901.75/305,872.50 = 305,872.50/x
  3. Step 3: Cross multiply
    233,901.75x = 305,872.50 × 305,872.50
  4. Step 4: Simplify right side
    233,901.75x = 93,557,986,256.25
  5. Step 5: Solve for x
    x = 93,557,986,256.25/233,901.75
  6. Step 6: Final answer
    x = 399,988.40

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.