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Finding the Third Proportional to 148,180 and 229,789.50

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Solution

The third proportional to 148,180 and 229,789.50 is: 356,345.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,180 : 229,789.50 = 229,789.50 : x
  2. Step 2: Convert to fraction form
    148,180/229,789.50 = 229,789.50/x
  3. Step 3: Cross multiply
    148,180x = 229,789.50 × 229,789.50
  4. Step 4: Simplify right side
    148,180x = 52,803,214,310.25
  5. Step 5: Solve for x
    x = 52,803,214,310.25/148,180
  6. Step 6: Final answer
    x = 356,345.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.