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Finding the Third Proportional to 154,900 and 229,471.50

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Solution

The third proportional to 154,900 and 229,471.50 is: 339,942.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,900 : 229,471.50 = 229,471.50 : x
  2. Step 2: Convert to fraction form
    154,900/229,471.50 = 229,471.50/x
  3. Step 3: Cross multiply
    154,900x = 229,471.50 × 229,471.50
  4. Step 4: Simplify right side
    154,900x = 52,657,169,312.25
  5. Step 5: Solve for x
    x = 52,657,169,312.25/154,900
  6. Step 6: Final answer
    x = 339,942.99

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.