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Finding the Third Proportional to 213,180.75 and 455,901.75

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Solution

The third proportional to 213,180.75 and 455,901.75 is: 974,977.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,180.75 : 455,901.75 = 455,901.75 : x
  2. Step 2: Convert to fraction form
    213,180.75/455,901.75 = 455,901.75/x
  3. Step 3: Cross multiply
    213,180.75x = 455,901.75 × 455,901.75
  4. Step 4: Simplify right side
    213,180.75x = 207,846,405,653.06
  5. Step 5: Solve for x
    x = 207,846,405,653.06/213,180.75
  6. Step 6: Final answer
    x = 974,977.36

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.