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Finding the Third Proportional to 164,423 and 353,799

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Solution

The third proportional to 164,423 and 353,799 is: 761,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,423 : 353,799 = 353,799 : x
  2. Step 2: Convert to fraction form
    164,423/353,799 = 353,799/x
  3. Step 3: Cross multiply
    164,423x = 353,799 × 353,799
  4. Step 4: Simplify right side
    164,423x = 125,173,732,401
  5. Step 5: Solve for x
    x = 125,173,732,401/164,423
  6. Step 6: Final answer
    x = 761,290.89

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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.