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Finding the Third Proportional to 151,804 and 329,858

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Solution

The third proportional to 151,804 and 329,858 is: 716,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,804 : 329,858 = 329,858 : x
  2. Step 2: Convert to fraction form
    151,804/329,858 = 329,858/x
  3. Step 3: Cross multiply
    151,804x = 329,858 × 329,858
  4. Step 4: Simplify right side
    151,804x = 108,806,300,164
  5. Step 5: Solve for x
    x = 108,806,300,164/151,804
  6. Step 6: Final answer
    x = 716,755.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.