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Finding the Third Proportional to 147,709.50 and 229,151.25

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Solution

The third proportional to 147,709.50 and 229,151.25 is: 355,497.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,709.50 : 229,151.25 = 229,151.25 : x
  2. Step 2: Convert to fraction form
    147,709.50/229,151.25 = 229,151.25/x
  3. Step 3: Cross multiply
    147,709.50x = 229,151.25 × 229,151.25
  4. Step 4: Simplify right side
    147,709.50x = 52,510,295,376.56
  5. Step 5: Solve for x
    x = 52,510,295,376.56/147,709.50
  6. Step 6: Final answer
    x = 355,497.08

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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.