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Finding the Third Proportional to 164,840 and 353,004

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Solution

The third proportional to 164,840 and 353,004 is: 755,956.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,840 : 353,004 = 353,004 : x
  2. Step 2: Convert to fraction form
    164,840/353,004 = 353,004/x
  3. Step 3: Cross multiply
    164,840x = 353,004 × 353,004
  4. Step 4: Simplify right side
    164,840x = 124,611,824,016
  5. Step 5: Solve for x
    x = 124,611,824,016/164,840
  6. Step 6: Final answer
    x = 755,956.22

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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.