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Finding the Third Proportional to 147,300.19 and 225,235.69

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Solution

The third proportional to 147,300.19 and 225,235.69 is: 344,406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,300.19 : 225,235.69 = 225,235.69 : x
  2. Step 2: Convert to fraction form
    147,300.19/225,235.69 = 225,235.69/x
  3. Step 3: Cross multiply
    147,300.19x = 225,235.69 × 225,235.69
  4. Step 4: Simplify right side
    147,300.19x = 50,731,114,923.60
  5. Step 5: Solve for x
    x = 50,731,114,923.60/147,300.19
  6. Step 6: Final answer
    x = 344,406.32

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.