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Finding the Third Proportional to 145,854 and 218,916

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Solution

The third proportional to 145,854 and 218,916 is: 328,576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,854 : 218,916 = 218,916 : x
  2. Step 2: Convert to fraction form
    145,854/218,916 = 218,916/x
  3. Step 3: Cross multiply
    145,854x = 218,916 × 218,916
  4. Step 4: Simplify right side
    145,854x = 47,924,215,056
  5. Step 5: Solve for x
    x = 47,924,215,056/145,854
  6. Step 6: Final answer
    x = 328,576.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.