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Finding the Third Proportional to 148,753.97 and 321,678.84

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Solution

The third proportional to 148,753.97 and 321,678.84 is: 695,627.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,753.97 : 321,678.84 = 321,678.84 : x
  2. Step 2: Convert to fraction form
    148,753.97/321,678.84 = 321,678.84/x
  3. Step 3: Cross multiply
    148,753.97x = 321,678.84 × 321,678.84
  4. Step 4: Simplify right side
    148,753.97x = 103,477,278,516.34
  5. Step 5: Solve for x
    x = 103,477,278,516.34/148,753.97
  6. Step 6: Final answer
    x = 695,627.01

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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.