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Finding the Third Proportional to 164,533 and 240,567

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Solution

The third proportional to 164,533 and 240,567 is: 351,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,533 : 240,567 = 240,567 : x
  2. Step 2: Convert to fraction form
    164,533/240,567 = 240,567/x
  3. Step 3: Cross multiply
    164,533x = 240,567 × 240,567
  4. Step 4: Simplify right side
    164,533x = 57,872,481,489
  5. Step 5: Solve for x
    x = 57,872,481,489/164,533
  6. Step 6: Final answer
    x = 351,737.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.