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Finding the Third Proportional to 141,267 and 200,830.50

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Solution

The third proportional to 141,267 and 200,830.50 is: 285,508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,267 : 200,830.50 = 200,830.50 : x
  2. Step 2: Convert to fraction form
    141,267/200,830.50 = 200,830.50/x
  3. Step 3: Cross multiply
    141,267x = 200,830.50 × 200,830.50
  4. Step 4: Simplify right side
    141,267x = 40,332,889,730.25
  5. Step 5: Solve for x
    x = 40,332,889,730.25/141,267
  6. Step 6: Final answer
    x = 285,508.22

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.