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Finding the Third Proportional to 244,159.50 and 378,009.75

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Solution

The third proportional to 244,159.50 and 378,009.75 is: 585,237.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,159.50 : 378,009.75 = 378,009.75 : x
  2. Step 2: Convert to fraction form
    244,159.50/378,009.75 = 378,009.75/x
  3. Step 3: Cross multiply
    244,159.50x = 378,009.75 × 378,009.75
  4. Step 4: Simplify right side
    244,159.50x = 142,891,371,095.06
  5. Step 5: Solve for x
    x = 142,891,371,095.06/244,159.50
  6. Step 6: Final answer
    x = 585,237.81

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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.