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Finding the Third Proportional to 148,300.50 and 229,821.75

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Solution

The third proportional to 148,300.50 and 229,821.75 is: 356,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,300.50 : 229,821.75 = 229,821.75 : x
  2. Step 2: Convert to fraction form
    148,300.50/229,821.75 = 229,821.75/x
  3. Step 3: Cross multiply
    148,300.50x = 229,821.75 × 229,821.75
  4. Step 4: Simplify right side
    148,300.50x = 52,818,036,773.06
  5. Step 5: Solve for x
    x = 52,818,036,773.06/148,300.50
  6. Step 6: Final answer
    x = 356,155.49

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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.