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Finding the Third Proportional to 164,308.50 and 264,534.75

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Solution

The third proportional to 164,308.50 and 264,534.75 is: 425,897.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,308.50 : 264,534.75 = 264,534.75 : x
  2. Step 2: Convert to fraction form
    164,308.50/264,534.75 = 264,534.75/x
  3. Step 3: Cross multiply
    164,308.50x = 264,534.75 × 264,534.75
  4. Step 4: Simplify right side
    164,308.50x = 69,978,633,957.56
  5. Step 5: Solve for x
    x = 69,978,633,957.56/164,308.50
  6. Step 6: Final answer
    x = 425,897.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.