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Finding the Third Proportional to 164,117 and 353,344

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Solution

The third proportional to 164,117 and 353,344 is: 760,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,117 : 353,344 = 353,344 : x
  2. Step 2: Convert to fraction form
    164,117/353,344 = 353,344/x
  3. Step 3: Cross multiply
    164,117x = 353,344 × 353,344
  4. Step 4: Simplify right side
    164,117x = 124,851,982,336
  5. Step 5: Solve for x
    x = 124,851,982,336/164,117
  6. Step 6: Final answer
    x = 760,749.85

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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.