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Finding the Third Proportional to 155,142 and 237,225

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Solution

The third proportional to 155,142 and 237,225 is: 362,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,142 : 237,225 = 237,225 : x
  2. Step 2: Convert to fraction form
    155,142/237,225 = 237,225/x
  3. Step 3: Cross multiply
    155,142x = 237,225 × 237,225
  4. Step 4: Simplify right side
    155,142x = 56,275,700,625
  5. Step 5: Solve for x
    x = 56,275,700,625/155,142
  6. Step 6: Final answer
    x = 362,736.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.