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Finding the Third Proportional to 237,903.75 and 341,951.63

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Solution

The third proportional to 237,903.75 and 341,951.63 is: 491,505.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,903.75 : 341,951.63 = 341,951.63 : x
  2. Step 2: Convert to fraction form
    237,903.75/341,951.63 = 341,951.63/x
  3. Step 3: Cross multiply
    237,903.75x = 341,951.63 × 341,951.63
  4. Step 4: Simplify right side
    237,903.75x = 116,930,913,840.14
  5. Step 5: Solve for x
    x = 116,930,913,840.14/237,903.75
  6. Step 6: Final answer
    x = 491,505.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.