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Finding the Third Proportional to 221,675 and 334,841

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Solution

The third proportional to 221,675 and 334,841 is: 505,778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,675 : 334,841 = 334,841 : x
  2. Step 2: Convert to fraction form
    221,675/334,841 = 334,841/x
  3. Step 3: Cross multiply
    221,675x = 334,841 × 334,841
  4. Step 4: Simplify right side
    221,675x = 112,118,495,281
  5. Step 5: Solve for x
    x = 112,118,495,281/221,675
  6. Step 6: Final answer
    x = 505,778.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.