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Finding the Third Proportional to 148,982 and 325,818

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Solution

The third proportional to 148,982 and 325,818 is: 712,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,982 : 325,818 = 325,818 : x
  2. Step 2: Convert to fraction form
    148,982/325,818 = 325,818/x
  3. Step 3: Cross multiply
    148,982x = 325,818 × 325,818
  4. Step 4: Simplify right side
    148,982x = 106,157,369,124
  5. Step 5: Solve for x
    x = 106,157,369,124/148,982
  6. Step 6: Final answer
    x = 712,551.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.