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Finding the Third Proportional to 164,196 and 354,586

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Solution

The third proportional to 164,196 and 354,586 is: 765,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,196 : 354,586 = 354,586 : x
  2. Step 2: Convert to fraction form
    164,196/354,586 = 354,586/x
  3. Step 3: Cross multiply
    164,196x = 354,586 × 354,586
  4. Step 4: Simplify right side
    164,196x = 125,731,231,396
  5. Step 5: Solve for x
    x = 125,731,231,396/164,196
  6. Step 6: Final answer
    x = 765,738.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.