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Finding the Third Proportional to 216,650.25 and 334,809.75

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Solution

The third proportional to 216,650.25 and 334,809.75 is: 517,412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,650.25 : 334,809.75 = 334,809.75 : x
  2. Step 2: Convert to fraction form
    216,650.25/334,809.75 = 334,809.75/x
  3. Step 3: Cross multiply
    216,650.25x = 334,809.75 × 334,809.75
  4. Step 4: Simplify right side
    216,650.25x = 112,097,568,695.06
  5. Step 5: Solve for x
    x = 112,097,568,695.06/216,650.25
  6. Step 6: Final answer
    x = 517,412.60

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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.