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Finding the Third Proportional to 159,888 and 346,272

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Solution

The third proportional to 159,888 and 346,272 is: 749,926.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,888 : 346,272 = 346,272 : x
  2. Step 2: Convert to fraction form
    159,888/346,272 = 346,272/x
  3. Step 3: Cross multiply
    159,888x = 346,272 × 346,272
  4. Step 4: Simplify right side
    159,888x = 119,904,297,984
  5. Step 5: Solve for x
    x = 119,904,297,984/159,888
  6. Step 6: Final answer
    x = 749,926.81

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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.