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Finding the Third Proportional to 244,086.75 and 377,905.50

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Solution

The third proportional to 244,086.75 and 377,905.50 is: 585,089.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,086.75 : 377,905.50 = 377,905.50 : x
  2. Step 2: Convert to fraction form
    244,086.75/377,905.50 = 377,905.50/x
  3. Step 3: Cross multiply
    244,086.75x = 377,905.50 × 377,905.50
  4. Step 4: Simplify right side
    244,086.75x = 142,812,566,930.25
  5. Step 5: Solve for x
    x = 142,812,566,930.25/244,086.75
  6. Step 6: Final answer
    x = 585,089.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.