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Finding the Third Proportional to 237,979.50 and 518,565

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Solution

The third proportional to 237,979.50 and 518,565 is: 1,129,969.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,979.50 : 518,565 = 518,565 : x
  2. Step 2: Convert to fraction form
    237,979.50/518,565 = 518,565/x
  3. Step 3: Cross multiply
    237,979.50x = 518,565 × 518,565
  4. Step 4: Simplify right side
    237,979.50x = 268,909,659,225
  5. Step 5: Solve for x
    x = 268,909,659,225/237,979.50
  6. Step 6: Final answer
    x = 1,129,969.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.