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Finding the Third Proportional to 159,931 and 342,007

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Solution

The third proportional to 159,931 and 342,007 is: 731,370.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,931 : 342,007 = 342,007 : x
  2. Step 2: Convert to fraction form
    159,931/342,007 = 342,007/x
  3. Step 3: Cross multiply
    159,931x = 342,007 × 342,007
  4. Step 4: Simplify right side
    159,931x = 116,968,788,049
  5. Step 5: Solve for x
    x = 116,968,788,049/159,931
  6. Step 6: Final answer
    x = 731,370.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.