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Finding the Third Proportional to 237,020.50 and 518,382.50

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Solution

The third proportional to 237,020.50 and 518,382.50 is: 1,133,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,020.50 : 518,382.50 = 518,382.50 : x
  2. Step 2: Convert to fraction form
    237,020.50/518,382.50 = 518,382.50/x
  3. Step 3: Cross multiply
    237,020.50x = 518,382.50 × 518,382.50
  4. Step 4: Simplify right side
    237,020.50x = 268,720,416,306.25
  5. Step 5: Solve for x
    x = 268,720,416,306.25/237,020.50
  6. Step 6: Final answer
    x = 1,133,743.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.