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Finding the Third Proportional to 122,032 and 264,592

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Solution

The third proportional to 122,032 and 264,592 is: 573,693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,032 : 264,592 = 264,592 : x
  2. Step 2: Convert to fraction form
    122,032/264,592 = 264,592/x
  3. Step 3: Cross multiply
    122,032x = 264,592 × 264,592
  4. Step 4: Simplify right side
    122,032x = 70,008,926,464
  5. Step 5: Solve for x
    x = 70,008,926,464/122,032
  6. Step 6: Final answer
    x = 573,693.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.