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Finding the Third Proportional to 159,490 and 341,868

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Solution

The third proportional to 159,490 and 341,868 is: 732,796.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,490 : 341,868 = 341,868 : x
  2. Step 2: Convert to fraction form
    159,490/341,868 = 341,868/x
  3. Step 3: Cross multiply
    159,490x = 341,868 × 341,868
  4. Step 4: Simplify right side
    159,490x = 116,873,729,424
  5. Step 5: Solve for x
    x = 116,873,729,424/159,490
  6. Step 6: Final answer
    x = 732,796.60

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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.