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Finding the Third Proportional to 169,828.88 and 347,031

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Solution

The third proportional to 169,828.88 and 347,031 is: 709,128.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,828.88 : 347,031 = 347,031 : x
  2. Step 2: Convert to fraction form
    169,828.88/347,031 = 347,031/x
  3. Step 3: Cross multiply
    169,828.88x = 347,031 × 347,031
  4. Step 4: Simplify right side
    169,828.88x = 120,430,514,961
  5. Step 5: Solve for x
    x = 120,430,514,961/169,828.88
  6. Step 6: Final answer
    x = 709,128.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.