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Finding the Third Proportional to 140,980.50 and 211,423.50

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Solution

The third proportional to 140,980.50 and 211,423.50 is: 317,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,980.50 : 211,423.50 = 211,423.50 : x
  2. Step 2: Convert to fraction form
    140,980.50/211,423.50 = 211,423.50/x
  3. Step 3: Cross multiply
    140,980.50x = 211,423.50 × 211,423.50
  4. Step 4: Simplify right side
    140,980.50x = 44,699,896,352.25
  5. Step 5: Solve for x
    x = 44,699,896,352.25/140,980.50
  6. Step 6: Final answer
    x = 317,064.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.