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Finding the Third Proportional to 164,860 and 353,042

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Solution

The third proportional to 164,860 and 353,042 is: 756,027.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,860 : 353,042 = 353,042 : x
  2. Step 2: Convert to fraction form
    164,860/353,042 = 353,042/x
  3. Step 3: Cross multiply
    164,860x = 353,042 × 353,042
  4. Step 4: Simplify right side
    164,860x = 124,638,653,764
  5. Step 5: Solve for x
    x = 124,638,653,764/164,860
  6. Step 6: Final answer
    x = 756,027.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.