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Finding the Third Proportional to 210,534.50 and 323,610.25

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Solution

The third proportional to 210,534.50 and 323,610.25 is: 497,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,534.50 : 323,610.25 = 323,610.25 : x
  2. Step 2: Convert to fraction form
    210,534.50/323,610.25 = 323,610.25/x
  3. Step 3: Cross multiply
    210,534.50x = 323,610.25 × 323,610.25
  4. Step 4: Simplify right side
    210,534.50x = 104,723,593,905.06
  5. Step 5: Solve for x
    x = 104,723,593,905.06/210,534.50
  6. Step 6: Final answer
    x = 497,417.73

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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.