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Finding the Third Proportional to 169,272 and 364,032

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Solution

The third proportional to 169,272 and 364,032 is: 782,877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,272 : 364,032 = 364,032 : x
  2. Step 2: Convert to fraction form
    169,272/364,032 = 364,032/x
  3. Step 3: Cross multiply
    169,272x = 364,032 × 364,032
  4. Step 4: Simplify right side
    169,272x = 132,519,297,024
  5. Step 5: Solve for x
    x = 132,519,297,024/169,272
  6. Step 6: Final answer
    x = 782,877.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.