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Finding the Third Proportional to 164,164 and 353,658

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Solution

The third proportional to 164,164 and 353,658 is: 761,884.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,164 : 353,658 = 353,658 : x
  2. Step 2: Convert to fraction form
    164,164/353,658 = 353,658/x
  3. Step 3: Cross multiply
    164,164x = 353,658 × 353,658
  4. Step 4: Simplify right side
    164,164x = 125,073,980,964
  5. Step 5: Solve for x
    x = 125,073,980,964/164,164
  6. Step 6: Final answer
    x = 761,884.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.