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Finding the Third Proportional to 148,532 and 229,836

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Solution

The third proportional to 148,532 and 229,836 is: 355,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,532 : 229,836 = 229,836 : x
  2. Step 2: Convert to fraction form
    148,532/229,836 = 229,836/x
  3. Step 3: Cross multiply
    148,532x = 229,836 × 229,836
  4. Step 4: Simplify right side
    148,532x = 52,824,586,896
  5. Step 5: Solve for x
    x = 52,824,586,896/148,532
  6. Step 6: Final answer
    x = 355,644.49

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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.