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Finding the Third Proportional to 164,311 and 264,538

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Solution

The third proportional to 164,311 and 264,538 is: 425,901.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,311 : 264,538 = 264,538 : x
  2. Step 2: Convert to fraction form
    164,311/264,538 = 264,538/x
  3. Step 3: Cross multiply
    164,311x = 264,538 × 264,538
  4. Step 4: Simplify right side
    164,311x = 69,980,353,444
  5. Step 5: Solve for x
    x = 69,980,353,444/164,311
  6. Step 6: Final answer
    x = 425,901.82

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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.