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Finding the Third Proportional to 164,889 and 359,307

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Solution

The third proportional to 164,889 and 359,307 is: 782,960.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,889 : 359,307 = 359,307 : x
  2. Step 2: Convert to fraction form
    164,889/359,307 = 359,307/x
  3. Step 3: Cross multiply
    164,889x = 359,307 × 359,307
  4. Step 4: Simplify right side
    164,889x = 129,101,520,249
  5. Step 5: Solve for x
    x = 129,101,520,249/164,889
  6. Step 6: Final answer
    x = 782,960.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.