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Finding the Third Proportional to 159,044 and 342,998

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Solution

The third proportional to 159,044 and 342,998 is: 739,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,044 : 342,998 = 342,998 : x
  2. Step 2: Convert to fraction form
    159,044/342,998 = 342,998/x
  3. Step 3: Cross multiply
    159,044x = 342,998 × 342,998
  4. Step 4: Simplify right side
    159,044x = 117,647,628,004
  5. Step 5: Solve for x
    x = 117,647,628,004/159,044
  6. Step 6: Final answer
    x = 739,717.49

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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.