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Finding the Third Proportional to 148,800 and 232,224

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Solution

The third proportional to 148,800 and 232,224 is: 362,419.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,800 : 232,224 = 232,224 : x
  2. Step 2: Convert to fraction form
    148,800/232,224 = 232,224/x
  3. Step 3: Cross multiply
    148,800x = 232,224 × 232,224
  4. Step 4: Simplify right side
    148,800x = 53,927,986,176
  5. Step 5: Solve for x
    x = 53,927,986,176/148,800
  6. Step 6: Final answer
    x = 362,419.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.