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Finding the Third Proportional to 213 and 575.50

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Solution

The third proportional to 213 and 575.50 is: 1,554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213 : 575.50 = 575.50 : x
  2. Step 2: Convert to fraction form
    213/575.50 = 575.50/x
  3. Step 3: Cross multiply
    213x = 575.50 × 575.50
  4. Step 4: Simplify right side
    213x = 331,200.25
  5. Step 5: Solve for x
    x = 331,200.25/213
  6. Step 6: Final answer
    x = 1,554.93

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