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Finding the Third Proportional to 148,804 and 232,230

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Solution

The third proportional to 148,804 and 232,230 is: 362,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,804 : 232,230 = 232,230 : x
  2. Step 2: Convert to fraction form
    148,804/232,230 = 232,230/x
  3. Step 3: Cross multiply
    148,804x = 232,230 × 232,230
  4. Step 4: Simplify right side
    148,804x = 53,930,772,900
  5. Step 5: Solve for x
    x = 53,930,772,900/148,804
  6. Step 6: Final answer
    x = 362,428.25

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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.