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Finding the Third Proportional to 148,289.06 and 229,807.13

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Solution

The third proportional to 148,289.06 and 229,807.13 is: 356,137.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,289.06 : 229,807.13 = 229,807.13 : x
  2. Step 2: Convert to fraction form
    148,289.06/229,807.13 = 229,807.13/x
  3. Step 3: Cross multiply
    148,289.06x = 229,807.13 × 229,807.13
  4. Step 4: Simplify right side
    148,289.06x = 52,811,314,700.77
  5. Step 5: Solve for x
    x = 52,811,314,700.77/148,289.06
  6. Step 6: Final answer
    x = 356,137.63

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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.