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Finding the Third Proportional to 148,827 and 320,982

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Solution

The third proportional to 148,827 and 320,982 is: 692,276.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,827 : 320,982 = 320,982 : x
  2. Step 2: Convert to fraction form
    148,827/320,982 = 320,982/x
  3. Step 3: Cross multiply
    148,827x = 320,982 × 320,982
  4. Step 4: Simplify right side
    148,827x = 103,029,444,324
  5. Step 5: Solve for x
    x = 103,029,444,324/148,827
  6. Step 6: Final answer
    x = 692,276.56

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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.