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Finding the Third Proportional to 201,811.50 and 312,285.38

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Solution

The third proportional to 201,811.50 and 312,285.38 is: 483,233.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,811.50 : 312,285.38 = 312,285.38 : x
  2. Step 2: Convert to fraction form
    201,811.50/312,285.38 = 312,285.38/x
  3. Step 3: Cross multiply
    201,811.50x = 312,285.38 × 312,285.38
  4. Step 4: Simplify right side
    201,811.50x = 97,522,155,438.89
  5. Step 5: Solve for x
    x = 97,522,155,438.89/201,811.50
  6. Step 6: Final answer
    x = 483,233.89

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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.