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Finding the Third Proportional to 244,585.50 and 365,753

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Solution

The third proportional to 244,585.50 and 365,753 is: 546,946.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,585.50 : 365,753 = 365,753 : x
  2. Step 2: Convert to fraction form
    244,585.50/365,753 = 365,753/x
  3. Step 3: Cross multiply
    244,585.50x = 365,753 × 365,753
  4. Step 4: Simplify right side
    244,585.50x = 133,775,257,009
  5. Step 5: Solve for x
    x = 133,775,257,009/244,585.50
  6. Step 6: Final answer
    x = 546,946.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.