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Finding the Third Proportional to 148,809.38 and 228,021

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Solution

The third proportional to 148,809.38 and 228,021 is: 349,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,809.38 : 228,021 = 228,021 : x
  2. Step 2: Convert to fraction form
    148,809.38/228,021 = 228,021/x
  3. Step 3: Cross multiply
    148,809.38x = 228,021 × 228,021
  4. Step 4: Simplify right side
    148,809.38x = 51,993,576,441
  5. Step 5: Solve for x
    x = 51,993,576,441/148,809.38
  6. Step 6: Final answer
    x = 349,397.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.