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Finding the Third Proportional to 216,966.50 and 335,916.75

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Solution

The third proportional to 216,966.50 and 335,916.75 is: 520,080.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,966.50 : 335,916.75 = 335,916.75 : x
  2. Step 2: Convert to fraction form
    216,966.50/335,916.75 = 335,916.75/x
  3. Step 3: Cross multiply
    216,966.50x = 335,916.75 × 335,916.75
  4. Step 4: Simplify right side
    216,966.50x = 112,840,062,930.56
  5. Step 5: Solve for x
    x = 112,840,062,930.56/216,966.50
  6. Step 6: Final answer
    x = 520,080.58

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Why These Related Problems?

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