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Finding the Third Proportional to 148,889.25 and 230,722.88

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Solution

The third proportional to 148,889.25 and 230,722.88 is: 357,534.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,889.25 : 230,722.88 = 230,722.88 : x
  2. Step 2: Convert to fraction form
    148,889.25/230,722.88 = 230,722.88/x
  3. Step 3: Cross multiply
    148,889.25x = 230,722.88 × 230,722.88
  4. Step 4: Simplify right side
    148,889.25x = 53,233,045,048.27
  5. Step 5: Solve for x
    x = 53,233,045,048.27/148,889.25
  6. Step 6: Final answer
    x = 357,534.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.