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Finding the Third Proportional to 210,538 and 323,616

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Solution

The third proportional to 210,538 and 323,616 is: 497,427.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,538 : 323,616 = 323,616 : x
  2. Step 2: Convert to fraction form
    210,538/323,616 = 323,616/x
  3. Step 3: Cross multiply
    210,538x = 323,616 × 323,616
  4. Step 4: Simplify right side
    210,538x = 104,727,315,456
  5. Step 5: Solve for x
    x = 104,727,315,456/210,538
  6. Step 6: Final answer
    x = 497,427.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.