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Finding the Third Proportional to 216,662 and 334,827

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Solution

The third proportional to 216,662 and 334,827 is: 517,437.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,662 : 334,827 = 334,827 : x
  2. Step 2: Convert to fraction form
    216,662/334,827 = 334,827/x
  3. Step 3: Cross multiply
    216,662x = 334,827 × 334,827
  4. Step 4: Simplify right side
    216,662x = 112,109,119,929
  5. Step 5: Solve for x
    x = 112,109,119,929/216,662
  6. Step 6: Final answer
    x = 517,437.85

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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.