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Finding the Third Proportional to 221,677 and 343,950

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Solution

The third proportional to 221,677 and 343,950 is: 533,666.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,677 : 343,950 = 343,950 : x
  2. Step 2: Convert to fraction form
    221,677/343,950 = 343,950/x
  3. Step 3: Cross multiply
    221,677x = 343,950 × 343,950
  4. Step 4: Simplify right side
    221,677x = 118,301,602,500
  5. Step 5: Solve for x
    x = 118,301,602,500/221,677
  6. Step 6: Final answer
    x = 533,666.56

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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.