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Finding the Third Proportional to 230,113.41 and 492,211.69

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Solution

The third proportional to 230,113.41 and 492,211.69 is: 1,052,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,113.41 : 492,211.69 = 492,211.69 : x
  2. Step 2: Convert to fraction form
    230,113.41/492,211.69 = 492,211.69/x
  3. Step 3: Cross multiply
    230,113.41x = 492,211.69 × 492,211.69
  4. Step 4: Simplify right side
    230,113.41x = 242,272,345,311.60
  5. Step 5: Solve for x
    x = 242,272,345,311.60/230,113.41
  6. Step 6: Final answer
    x = 1,052,838.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.