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Finding the Third Proportional to 227,353.50 and 316,114.50

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Solution

The third proportional to 227,353.50 and 316,114.50 is: 439,528.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,353.50 : 316,114.50 = 316,114.50 : x
  2. Step 2: Convert to fraction form
    227,353.50/316,114.50 = 316,114.50/x
  3. Step 3: Cross multiply
    227,353.50x = 316,114.50 × 316,114.50
  4. Step 4: Simplify right side
    227,353.50x = 99,928,377,110.25
  5. Step 5: Solve for x
    x = 99,928,377,110.25/227,353.50
  6. Step 6: Final answer
    x = 439,528.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.