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Finding the Third Proportional to 164,164 and 353,638

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Solution

The third proportional to 164,164 and 353,638 is: 761,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,164 : 353,638 = 353,638 : x
  2. Step 2: Convert to fraction form
    164,164/353,638 = 353,638/x
  3. Step 3: Cross multiply
    164,164x = 353,638 × 353,638
  4. Step 4: Simplify right side
    164,164x = 125,059,835,044
  5. Step 5: Solve for x
    x = 125,059,835,044/164,164
  6. Step 6: Final answer
    x = 761,798.17

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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.