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Finding the Third Proportional to 200,613.38 and 311,632.31

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Solution

The third proportional to 200,613.38 and 311,632.31 is: 484,088.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,613.38 : 311,632.31 = 311,632.31 : x
  2. Step 2: Convert to fraction form
    200,613.38/311,632.31 = 311,632.31/x
  3. Step 3: Cross multiply
    200,613.38x = 311,632.31 × 311,632.31
  4. Step 4: Simplify right side
    200,613.38x = 97,114,698,194.10
  5. Step 5: Solve for x
    x = 97,114,698,194.10/200,613.38
  6. Step 6: Final answer
    x = 484,088.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.