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Finding the Third Proportional to 140,332.50 and 190,512

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Solution

The third proportional to 140,332.50 and 190,512 is: 258,634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,332.50 : 190,512 = 190,512 : x
  2. Step 2: Convert to fraction form
    140,332.50/190,512 = 190,512/x
  3. Step 3: Cross multiply
    140,332.50x = 190,512 × 190,512
  4. Step 4: Simplify right side
    140,332.50x = 36,294,822,144
  5. Step 5: Solve for x
    x = 36,294,822,144/140,332.50
  6. Step 6: Final answer
    x = 258,634.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.