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Finding the Third Proportional to 164,318 and 264,548

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Solution

The third proportional to 164,318 and 264,548 is: 425,915.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,318 : 264,548 = 264,548 : x
  2. Step 2: Convert to fraction form
    164,318/264,548 = 264,548/x
  3. Step 3: Cross multiply
    164,318x = 264,548 × 264,548
  4. Step 4: Simplify right side
    164,318x = 69,985,644,304
  5. Step 5: Solve for x
    x = 69,985,644,304/164,318
  6. Step 6: Final answer
    x = 425,915.87

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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.