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Finding the Third Proportional to 237,967 and 368,470.50

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Solution

The third proportional to 237,967 and 368,470.50 is: 570,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,967 : 368,470.50 = 368,470.50 : x
  2. Step 2: Convert to fraction form
    237,967/368,470.50 = 368,470.50/x
  3. Step 3: Cross multiply
    237,967x = 368,470.50 × 368,470.50
  4. Step 4: Simplify right side
    237,967x = 135,770,509,370.25
  5. Step 5: Solve for x
    x = 135,770,509,370.25/237,967
  6. Step 6: Final answer
    x = 570,543.43

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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.