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Finding the Third Proportional to 233,880.75 and 364,510.13

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Solution

The third proportional to 233,880.75 and 364,510.13 is: 568,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,880.75 : 364,510.13 = 364,510.13 : x
  2. Step 2: Convert to fraction form
    233,880.75/364,510.13 = 364,510.13/x
  3. Step 3: Cross multiply
    233,880.75x = 364,510.13 × 364,510.13
  4. Step 4: Simplify right side
    233,880.75x = 132,867,631,227.52
  5. Step 5: Solve for x
    x = 132,867,631,227.52/233,880.75
  6. Step 6: Final answer
    x = 568,099.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.