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Finding the Third Proportional to 161,079 and 342,893

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Solution

The third proportional to 161,079 and 342,893 is: 729,925.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,079 : 342,893 = 342,893 : x
  2. Step 2: Convert to fraction form
    161,079/342,893 = 342,893/x
  3. Step 3: Cross multiply
    161,079x = 342,893 × 342,893
  4. Step 4: Simplify right side
    161,079x = 117,575,609,449
  5. Step 5: Solve for x
    x = 117,575,609,449/161,079
  6. Step 6: Final answer
    x = 729,925.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.