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Finding the Third Proportional to 216,007.50 and 286,632.75

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Solution

The third proportional to 216,007.50 and 286,632.75 is: 380,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,007.50 : 286,632.75 = 286,632.75 : x
  2. Step 2: Convert to fraction form
    216,007.50/286,632.75 = 286,632.75/x
  3. Step 3: Cross multiply
    216,007.50x = 286,632.75 × 286,632.75
  4. Step 4: Simplify right side
    216,007.50x = 82,158,333,372.56
  5. Step 5: Solve for x
    x = 82,158,333,372.56/216,007.50
  6. Step 6: Final answer
    x = 380,349.45

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.