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Finding the Third Proportional to 151,949 and 329,818

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Solution

The third proportional to 151,949 and 329,818 is: 715,897.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,949 : 329,818 = 329,818 : x
  2. Step 2: Convert to fraction form
    151,949/329,818 = 329,818/x
  3. Step 3: Cross multiply
    151,949x = 329,818 × 329,818
  4. Step 4: Simplify right side
    151,949x = 108,779,913,124
  5. Step 5: Solve for x
    x = 108,779,913,124/151,949
  6. Step 6: Final answer
    x = 715,897.53

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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.