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Finding the Third Proportional to 164,182 and 353,995

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Solution

The third proportional to 164,182 and 353,995 is: 763,253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,182 : 353,995 = 353,995 : x
  2. Step 2: Convert to fraction form
    164,182/353,995 = 353,995/x
  3. Step 3: Cross multiply
    164,182x = 353,995 × 353,995
  4. Step 4: Simplify right side
    164,182x = 125,312,460,025
  5. Step 5: Solve for x
    x = 125,312,460,025/164,182
  6. Step 6: Final answer
    x = 763,253.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.