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Finding the Third Proportional to 216,646 and 336,773

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Solution

The third proportional to 216,646 and 336,773 is: 523,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,646 : 336,773 = 336,773 : x
  2. Step 2: Convert to fraction form
    216,646/336,773 = 336,773/x
  3. Step 3: Cross multiply
    216,646x = 336,773 × 336,773
  4. Step 4: Simplify right side
    216,646x = 113,416,053,529
  5. Step 5: Solve for x
    x = 113,416,053,529/216,646
  6. Step 6: Final answer
    x = 523,508.64

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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.