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Finding the Third Proportional to 148,032.56 and 229,635

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Solution

The third proportional to 148,032.56 and 229,635 is: 356,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,032.56 : 229,635 = 229,635 : x
  2. Step 2: Convert to fraction form
    148,032.56/229,635 = 229,635/x
  3. Step 3: Cross multiply
    148,032.56x = 229,635 × 229,635
  4. Step 4: Simplify right side
    148,032.56x = 52,732,233,225
  5. Step 5: Solve for x
    x = 52,732,233,225/148,032.56
  6. Step 6: Final answer
    x = 356,220.50

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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.