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Finding the Third Proportional to 159,006 and 346,044

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Solution

The third proportional to 159,006 and 346,044 is: 753,093.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,006 : 346,044 = 346,044 : x
  2. Step 2: Convert to fraction form
    159,006/346,044 = 346,044/x
  3. Step 3: Cross multiply
    159,006x = 346,044 × 346,044
  4. Step 4: Simplify right side
    159,006x = 119,746,449,936
  5. Step 5: Solve for x
    x = 119,746,449,936/159,006
  6. Step 6: Final answer
    x = 753,093.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.