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Finding the Third Proportional to 164,658 and 261,846

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Solution

The third proportional to 164,658 and 261,846 is: 416,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,658 : 261,846 = 261,846 : x
  2. Step 2: Convert to fraction form
    164,658/261,846 = 261,846/x
  3. Step 3: Cross multiply
    164,658x = 261,846 × 261,846
  4. Step 4: Simplify right side
    164,658x = 68,563,327,716
  5. Step 5: Solve for x
    x = 68,563,327,716/164,658
  6. Step 6: Final answer
    x = 416,398.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.