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Finding the Third Proportional to 237,907.50 and 341,956.50

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Solution

The third proportional to 237,907.50 and 341,956.50 is: 491,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,907.50 : 341,956.50 = 341,956.50 : x
  2. Step 2: Convert to fraction form
    237,907.50/341,956.50 = 341,956.50/x
  3. Step 3: Cross multiply
    237,907.50x = 341,956.50 × 341,956.50
  4. Step 4: Simplify right side
    237,907.50x = 116,934,247,892.25
  5. Step 5: Solve for x
    x = 116,934,247,892.25/237,907.50
  6. Step 6: Final answer
    x = 491,511.40

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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.