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Finding the Third Proportional to 208,066.50 and 314,286.50

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Solution

The third proportional to 208,066.50 and 314,286.50 is: 474,732.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,066.50 : 314,286.50 = 314,286.50 : x
  2. Step 2: Convert to fraction form
    208,066.50/314,286.50 = 314,286.50/x
  3. Step 3: Cross multiply
    208,066.50x = 314,286.50 × 314,286.50
  4. Step 4: Simplify right side
    208,066.50x = 98,776,004,082.25
  5. Step 5: Solve for x
    x = 98,776,004,082.25/208,066.50
  6. Step 6: Final answer
    x = 474,732.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.